<div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/7203375d-9041-4a32-ba07-d68c0a94444f/bg1.png"><div class="t m0 x0 h2 y1 ff1 fs0 fc0 sc0 ls9 wsb">José Gracioli <span class="_0 blank"> </span> <span class="_1 blank"> </span>Estatística I </div><div class="t m0 x1 h3 y2 ff2 fs0 fc0 sc0 ls9 wsb">Lis<span class="_2 blank"></span>t<span class="_2 blank"></span>a <span class="_2 blank"></span>II<span class="_2 blank"></span>I <span class="_2 blank"></span>\u2013 <span class="_2 blank"></span>Eng<span class="_2 blank"></span>en<span class="_2 blank"></span>h<span class="_2 blank"></span>ari<span class="_2 blank"></span>a<span class="_2 blank"></span> d<span class="_2 blank"></span>e <span class="_2 blank"></span>Pr<span class="_2 blank"></span>od<span class="_2 blank"></span>uç<span class="_2 blank"></span>ão<span class="_2 blank"></span> U<span class="_2 blank"></span>CA<span class="_3 blank"></span>M \u2013<span class="_2 blank"></span> R<span class="_2 blank"></span>io <span class="_3 blank"></span>\u2013 No<span class="_3 blank"></span>ite<span class="_2 blank"></span> e <span class="_3 blank"></span>Manh<span class="_3 blank"></span>ã </div><div class="t m1 x0 h4 y3 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h5 y4 ff3 fs1 fc0 sc0 ls9 wsb">1) <span class="_4 blank"> </span>Suponha que a <span class="_4 blank"> </span>va X tenha <span class="_4 blank"> </span>como <span class="ff4">\ue001</span></div><div class="t m2 x2 h6 y5 ff4 fs2 fc0 sc0 ls9">\ue002</div><div class="t m1 x3 h7 y4 ff4 fs1 fc0 sc0 ls0">\ue003<span class="ls1 v1">\ue004</span><span class="ls9 ws0">\ue005\ue006 \ue007\ue006 \ue008\ue006 \ue009\ue006 \ue00a<span class="ls1 v1">\ue00b</span><span class="ws1">\ue00c\ue00c\ue00c\ue00d\ue00c\ue00c\ue00c\ue00e<span class="_2 blank"></span><span class="v1">\ue00f<span class="ws2 v2">\ue010 \ue003 \ue011</span><span class="ls2">\ue012<span class="ls9 ws2 v2">\ue003 \ue013</span></span></span></span></span></div><div class="t m2 x4 h6 y6 ff4 fs2 fc0 sc0 ls9">\ue014</div><div class="t m2 x4 h6 y7 ff4 fs2 fc0 sc0 ls9">\ue015</div><div class="t m1 x5 h5 y4 ff4 fs1 fc0 sc0 ls9">\ue016</div><div class="t m2 x6 h6 y8 ff4 fs2 fc0 sc0 ls9">\ue017</div><div class="t m1 x7 h5 y4 ff4 fs1 fc0 sc0 ls9 ws3">\ue00c\ue00c\ue011\ue00c<span class="_5 blank"> </span>\ue018 \ue00c \ue001</div><div class="t m2 x8 h6 y5 ff4 fs2 fc0 sc0 ls9">\ue002</div><div class="t m1 x9 h7 y4 ff4 fs1 fc0 sc0 ls3">\ue019<span class="ls1 v1">\ue004</span><span class="ls4">\ue005<span class="ls1 v1">\ue00b</span><span class="ls9 ws1">\ue00c\ue00c<span class="ff3 wsb"> </span></span></span></div><div class="t m1 x0 h8 y9 ff3 fs1 fc0 sc0 ls9 wsb">e <span class="ff4 ws1">\ue00e<span class="v1">\ue00f</span><span class="ws4">\ue010 \ue003 \ue005<span class="ls5 v1">\ue012</span>\ue003</span></span></div><div class="t m2 xa h6 ya ff4 fs2 fc0 sc0 ls9">\ue014</div><div class="t m2 xb h6 yb ff4 fs2 fc0 sc0 ls9 ws5">\ue014\ue01a</div><div class="t m1 xc h4 y9 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 yc ff3 fs1 fc0 sc0 ls9 wsb">a) calcule a P(X ser<span class="_2 blank"></span> par) </div><div class="t m1 x0 h4 yd ff3 fs1 fc0 sc0 ls9 wsb">b) determine a fdp<span class="_2 blank"></span> de X </div><div class="t m1 x0 h9 ye ff4 fs1 fc0 sc0 ls9 ws6">\ue01b\ue012 <span class="v3">\ue009</span></div><div class="t m1 xd h5 yf ff4 fs1 fc0 sc0 ls6">\ue01c<span class="ff3 ls9 wsb v4"> </span></div><div class="t m1 x0 h8 y10 ff4 fs1 fc0 sc0 ls9 ws1">\ue01d\ue012\ue00c\ue00c\ue01e<span class="v1">\ue00f</span>\ue01f<span class="ls5 v1">\ue012</span>\ue003</div><div class="c xe y11 w2 ha"><div class="t m1 xf h5 y12 ff4 fs1 fc0 sc0 ls9 wsb"> </div></div><div class="c xe y13 w2 hb"><div class="t m1 xf h5 y14 ff4 fs1 fc0 sc0 ls9">!</div></div><div class="c xe y15 w2 hc"><div class="t m1 xf h5 y16 ff4 fs1 fc0 sc0 ls9">!</div></div><div class="c xe y17 w2 hd"><div class="t m1 xf h5 y18 ff4 fs1 fc0 sc0 ls9">"</div></div><div class="c xe y19 w2 he"><div class="t m1 xf h5 y1a ff4 fs1 fc0 sc0 ls9">!</div></div><div class="c xe y1b w2 hc"><div class="t m1 xf h5 y1c ff4 fs1 fc0 sc0 ls9">!</div></div><div class="c xe y1d w2 hf"><div class="t m1 xf h5 y1e ff4 fs1 fc0 sc0 ls9">#</div></div><div class="t m1 x10 h5 y1f ff4 fs1 fc0 sc0 ls9">\ue007</div><div class="t m1 x11 h10 y20 ff4 fs1 fc0 sc0 ls9 ws7">\ue007$ <span class="ws4 v4">\ue00c\ue00c%\ue00d\ue00c\ue01f \ue003 \ue005\ue00c\ue00c&'\ue00c\ue00c\ue01f \ue003 \ue00a</span></div><div class="t m1 x12 h5 y21 ff4 fs1 fc0 sc0 ls9">\ue007</div><div class="t m1 x12 h10 y22 ff4 fs1 fc0 sc0 ls7">\ue008<span class="ls9 ws8 v4">\ue00c\ue00c%\ue00d\ue00c\ue01f \ue003 \ue007</span></div><div class="t m1 x12 h5 y23 ff4 fs1 fc0 sc0 ls9">\ue007</div><div class="t m1 x12 h10 y24 ff4 fs1 fc0 sc0 ls8">\ue00a<span class="ls9 ws8 v4">\ue00c\ue00c%\ue00d\ue00c\ue01f \ue003 \ue008</span></div><div class="t m1 x12 h5 y25 ff4 fs1 fc0 sc0 ls9">\ue007</div><div class="t m1 x12 h10 y26 ff4 fs1 fc0 sc0 ls8">\ue01c<span class="ls9 ws8 v4">\ue00c\ue00c%\ue00d\ue00c\ue01f \ue003 \ue009</span></div><div class="t m1 x13 h4 y10 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y27 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y28 ff3 fs1 fc0 sc0 ls9 wsb">2) <span class="_6 blank"> </span>(Empresa <span class="_6 blank"> </span>de <span class="_7 blank"> </span>Pesquisa<span class="_2 blank"></span> <span class="_6 blank"> </span>Energética <span class="_7 blank"> </span>\u2013 <span class="_6 blank"> </span>Cesgranrio <span class="_7 blank"> </span>\u2013 <span class="_6 blank"> </span>2012) <span class="_7 blank"> </span>Sejam <span class="_7 blank"> </span>X<span class="_4 blank"> </span> <span class="_7 blank"> </span>e <span class="_6 blank"> </span>Y <span class="_7 blank"> </span>variáveis </div><div class="t m1 x0 h4 y29 ff3 fs1 fc0 sc0 ls9 wsb">aleatórias <span class="_8 blank"> </span>independente<span class="_2 blank"></span>s. <span class="_8 blank"> </span>Sabendo-se <span class="_8 blank"> </span>que <span class="_8 blank"> </span>E(X)=2, <span class="_8 blank"> </span>E(<span class="_2 blank"></span>X</div><div class="t m3 x14 h11 y2a ff3 fs3 fc0 sc0 ls9">2</div><div class="t m1 x15 h4 y29 ff3 fs1 fc0 sc0 ls9 wsb">.Y)=8, <span class="_8 blank"> </span>E(X.Y</div><div class="t m3 x8 h11 y2a ff3 fs3 fc0 sc0 ls9">2</div><div class="t m1 x16 h4 y29 ff3 fs1 fc0 sc0 ls9 wsb">)=6 <span class="_8 blank"> </span>e<span class="_3 blank"></span> </div><div class="t m1 x0 h4 y2b ff3 fs1 fc0 sc0 ls9 ws9">E((X.Y)</div><div class="t m3 x1 h11 y2c ff3 fs3 fc0 sc0 ls9">2</div><div class="t m1 x17 h4 y2b ff3 fs1 fc0 sc0 ls9 wsb">)=24, conclui-se <span class="_2 blank"></span>que o valor da variâ<span class="_2 blank"></span>ncia de Y é: </div><div class="t m1 x0 h4 y2d ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h8 y2e ff4 fs1 fc0 sc0 ls9 ws1">(\ue01b)<span class="v1">\ue00f</span>*<span class="ls5 v1">\ue012</span><span class="ws4">\ue003 \ue008<span class="ff3 wsb"> </span></span></div><div class="t m1 x0 h4 y2f ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y30 ff3 fs1 fc0 sc0 ls9 wsb">3) Sejam X e Y variá<span class="_2 blank"></span>veis aleatórias discre<span class="_2 blank"></span>tas com fdp conjunta dada<span class="_2 blank"></span> por: </div><div class="t m1 x0 h4 y31 ff3 fs1 fc0 sc0 ls9 wsb"> <span class="_9 blank"> </span> <span class="_9 blank"> </span> <span class="_9 blank"> </span> <span class="_9 blank"> </span>Tabela \u2013 Distribuição<span class="_2 blank"></span> conjunta de X e Y </div><div class="t m1 x18 h4 y32 ff3 fs1 fc0 sc0 ls9 wsb"> Y</div><div class="c x19 y33 w3 hb"><div class="t m1 xf h4 y34 ff3 fs1 fc0 sc0 ls9 wsb"> </div></div><div class="t m1 x18 h12 y35 ff3 fs1 fc0 sc0 ls9 wsb"> X <span class="_a blank"> </span><span class="v5">-1 <span class="_b blank"> </span>0 <span class="_a blank"> </span>1 <span class="_c blank"> </span><span class="fc1"> </span></span></div><div class="t m1 x1a h4 y36 ff3 fs1 fc0 sc0 ls9 wsb">0 <span class="_d blank"> </span>1/3 <span class="_e blank"> </span>0 <span class="_f blank"> </span>1/3 <span class="_10 blank"> </span><span class="fc1"> </span></div><div class="t m1 x1a h4 y37 ff3 fs1 fc0 sc0 ls9 wsb">1 <span class="_11 blank"> </span>0 <span class="_e blank"> </span>1/3 <span class="_f blank"> </span>0 <span class="_c blank"> </span><span class="fc1"> </span></div><div class="t m1 x1b h4 y38 ff3 fs1 fc1 sc0 ls9 wsb"> <span class="_12 blank"> </span> <span class="_13 blank"> </span> <span class="_14 blank"> </span> <span class="_14 blank"> </span> </div><div class="t m1 x0 h4 y39 ff3 fs1 fc0 sc0 ls9 wsb">a) calcule cov(X,Y)<span class="_2 blank"></span> </div><div class="t m1 x0 h4 y3a ff3 fs1 fc0 sc0 ls9 wsb">b) X e Y são independen<span class="_3 blank"></span>t<span class="_4 blank"> </span>es? </div><div class="t m1 x0 h4 y3b ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h8 y3c ff4 fs1 fc0 sc0 ls9 ws1">\ue01b\ue012\ue00c+&,<span class="v1">\ue00f</span><span class="wsa">\ue010\ue006 *<span class="ls2 v1">\ue012</span><span class="ws4">\ue003 \ue005<span class="ff3 wsb"> </span></span></span></div><div class="t m1 x0 h5 y3d ff4 fs1 fc0 sc0 ls9 ws1">\ue01d\ue012\ue00c\ue00c\ue00c\ue00c-.&\ue00c<span class="ff3 wsb"> </span></div><div class="t m1 x0 h4 y3e ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y3f ff3 fs1 fc0 sc0 ls9 wsb">4) (<span class="_4 blank"> </span>ANPEC<span class="_2 blank"></span> <span class="_4 blank"> </span>\u2013 2012) Sejam <span class="_4 blank"> </span>X e <span class="_4 blank"> </span>Y duas variáveis aleatórias <span class="_4 blank"> </span>independentes<span class="_3 blank"></span> <span class="_4 blank"> </span>com <span class="_4 blank"> </span>E(X)=4,<span class="_2 blank"></span> </div><div class="t m1 x0 h4 y40 ff3 fs1 fc0 sc0 ls9 wsb">E(Y)=5, Var(X)=1 e Var<span class="_2 blank"></span>(Y)=2. Justi<span class="_3 blank"></span>f<span class="_4 blank"> </span>ique se são o<span class="_2 blank"></span>u não corretas as afirmat<span class="_2 blank"></span>ivas: </div><div class="t m1 x0 h4 y41 ff3 fs1 fc0 sc0 ls9 wsb">a) E(XY)=9 </div><div class="t m1 x0 h4 y42 ff3 fs1 fc0 sc0 ls9 wsb">b) E(X</div><div class="t m3 x1c h11 y43 ff3 fs3 fc0 sc0 ls9">2</div><div class="t m1 x1 h4 y42 ff3 fs1 fc0 sc0 ls9 wsb">)=16 </div><div class="t m1 x0 h4 y44 ff3 fs1 fc0 sc0 ls9 wsb">c) Cov(X,Y)=0 </div><div class="t m1 x0 h4 y45 ff3 fs1 fc0 sc0 ls9 wsb">d) Var(XY)= (E[Y])</div><div class="t m3 x1d h11 y46 ff3 fs3 fc0 sc0 ls9">2</div><div class="t m1 x1e h4 y45 ff3 fs1 fc0 sc0 ls9 wsb"> Var(X) + (E[<span class="_2 blank"></span>X])</div><div class="t m3 x1f h11 y46 ff3 fs3 fc0 sc0 ls9">2</div><div class="t m1 x20 h4 y45 ff3 fs1 fc0 sc0 ls9 wsb"> Var(Y) + Var(X).Va<span class="_3 blank"></span>r<span class="_4 blank"> </span>(Y) = 59 </div><div class="t m1 x0 h4 y47 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h5 y48 ff4 fs1 fc0 sc0 ls9 ws1">\ue01b\ue012\ue00c\ue00c\ue00c\ue00c/\ue01b0%\ue01b<span class="ff3 wsb"> </span></div><div class="t m1 x0 h5 y49 ff4 fs1 fc0 sc0 ls9 ws1">\ue01d\ue012\ue00c\ue00c\ue00c\ue00c/\ue01b0%\ue01b<span class="ff3 wsb"> </span></div><div class="t m1 x0 h5 y4a ff4 fs1 fc0 sc0 ls9 ws1">1\ue012\ue00c\ue00c\ue00c\ue00c(\ue00d)2\ue01b2\ue00d3)\ue01b<span class="_2 blank"></span><span class="ff3 wsb"> </span></div><div class="t m1 x0 h5 y4b ff4 fs1 fc0 sc0 ls9 ws1">2\ue012\ue00c\ue00c\ue00c\ue00c(\ue00d)2\ue01b2\ue00d3)\ue01b<span class="ff3 wsb"> </span></div><div class="t m1 x0 h4 y4c ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y4d ff3 fs1 fc0 sc0 ls9 wsb">5) Se E(X²)= 40 = E(Y<span class="_2 blank"></span>²), E(X)=5 e E(Y)=4 e<span class="_2 blank"></span> E(XY)=30, cal<span class="_2 blank"></span>cule: </div><div class="t m1 x0 h4 y4e ff3 fs1 fc0 sc0 ls9 wsb">a) E(3X+8) </div><div class="t m1 x0 h4 y4f ff3 fs1 fc0 sc0 ls9 wsb">b) Var(3X+8) </div><div class="t m1 x0 h4 y50 ff3 fs1 fc0 sc0 ls9 wsb">c) Var(X+Y) </div><div class="t m1 x0 h4 y51 ff3 fs1 fc0 sc0 ls9 wsb"> </div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf2" class="pf w0 h0" data-page-no="2"><div class="pc pc2 w0 h0"><img class="bi x1 y52 w4 h13" alt="" src="https://files.passeidireto.com/7203375d-9041-4a32-ba07-d68c0a94444f/bg2.png"><div class="t m0 x0 h2 y1 ff1 fs0 fc0 sc0 ls9 wsb">José Gracioli <span class="_0 blank"> </span> <span class="_1 blank"> </span>Estatística I </div><div class="t m1 x0 h5 y53 ff4 fs1 fc0 sc0 ls9 ws1">\ue01b\ue012\ue00c\ue00c\ue00c\ue00c\ue008\ue009<span class="ff3 wsb"> </span></div><div class="t m1 x0 h5 y54 ff4 fs1 fc0 sc0 ls9 ws1">\ue01d\ue012\ue00c\ue00c\ue00c\ue007\ue0094<span class="ff3 wsb"> </span></div><div class="t m1 x0 h5 y55 ff4 fs1 fc0 sc0 ls9 ws1">1\ue012\ue00c\ue00c\ue00c\ue00c\ue008\ue00a<span class="ff3 wsb"> </span></div><div class="t m1 x0 h4 y56 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y57 ff3 fs1 fc0 sc0 ls9 wsb">6) <span class="_15 blank"> </span>Se <span class="_15 blank"> </span>E(<span class="_3 blank"></span>X)<span class="_4 blank"> </span>=1, <span class="_16 blank"> </span>E(Y)=2 <span class="_16 blank"> </span>e <span class="_16 blank"> </span>Var(X)=Var(Y)=4,<span class="_2 blank"></span> <span class="_15 blank"> </span>calcule <span class="_16 blank"> </span>var(Z) <span class="_16 blank"> </span>onde <span class="_16 blank"> </span>Z=2X+4Y <span class="_16 blank"> </span>e <span class="_16 blank"> </span>X <span class="_15 blank"> </span>e <span class="_15 blank"> </span>Y <span class="_16 blank"> </span>são </div><div class="t m1 x0 h4 y58 ff3 fs1 fc0 sc0 ls9 wsb">independentes. </div><div class="t m1 x0 h4 y59 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h8 y5a ff4 fs1 fc0 sc0 ls9 ws1">(\ue01b)<span class="v1">\ue00f</span>5<span class="ls5 v1">\ue012</span><span class="ws4">\ue003 \ue01c\ue005<span class="ff3 wsb"> </span></span></div><div class="t m1 x0 h4 y5b ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y5c ff3 fs1 fc0 sc0 ls9 wsb">7) <span class="_4 blank"> </span>Em uma <span class="_4 blank"> </span>pesquisa de <span class="_4 blank"> </span>opinião com <span class="_4 blank"> </span>determinado grupo <span class="_4 blank"> </span>de estudantes <span class="_4 blank"> </span>sobre o <span class="_4 blank"> </span>estudo<span class="_2 blank"></span> </div><div class="t m1 x0 h4 y5d ff3 fs1 fc0 sc0 ls9 wsb">de <span class="_4 blank"> </span>uma <span class="_4 blank"> </span>segunda<span class="_2 blank"></span> <span class="_4 blank"> </span>lí<span class="_2 blank"></span>ngua. <span class="_4 blank"> </span>Num g<span class="_4 blank"> </span>rupo de <span class="_4 blank"> </span>20 <span class="_4 blank"> </span>pessoas, 7 <span class="_4 blank"> </span>preferem estudar <span class="_4 blank"> </span>espanhol e <span class="_4 blank"> </span>13 </div><div class="t m1 x0 h4 y5e ff3 fs1 fc0 sc0 ls9 wsb">preferem e<span class="_2 blank"></span>studar <span class="_5 blank"> </span>in<span class="_3 blank"></span>g<span class="_4 blank"> </span>lês. U<span class="_3 blank"></span>m<span class="_4 blank"> </span>a a<span class="_3 blank"></span>m<span class="_4 blank"> </span>ostra <span class="_5 blank"> </span>d<span class="_2 blank"></span>e 5 <span class="_17 blank"> </span>pessoas <span class="_17 blank"> </span>deste <span class="_17 blank"> </span>grupo <span class="_17 blank"> </span>foi selecionad<span class="_3 blank"></span>a </div><div class="t m1 x0 h4 y5f ff3 fs1 fc0 sc0 ls9 wsb">aleatoriamente. Qual<span class="_2 blank"></span> a probabilidad<span class="_2 blank"></span>e de: </div><div class="t m1 x0 h4 y60 ff3 fs1 fc0 sc0 ls9 wsb">a) Exatamente 3 preferi<span class="_3 blank"></span>rem <span class="_4 blank"> </span>estudar<span class="_2 blank"></span> inglês </div><div class="t m1 x0 h4 y61 ff3 fs1 fc0 sc0 ls9 wsb">b) De a maioria preferir<span class="_2 blank"></span> estudar espanhol<span class="_3 blank"></span> </div><div class="t m1 x0 h4 y62 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h5 y63 ff4 fs1 fc0 sc0 ls9 wsc">\ue01b\ue012 \ue00c\ue00c 6<span class="_5 blank"> </span>\ue009\ue01c\ue0067\ue00a8\ue00c\ue00c\ue00c<span class="ff3 wsb"> </span></div><div class="t m1 x0 h5 y64 ff4 fs1 fc0 sc0 ls9 wsc">\ue01d\ue012 \ue00c\ue00c 6<span class="_5 blank"> </span>\ue008\ue005\ue006$\ue01c8\ue00c\ue00c\ue00c<span class="ff3 wsb"> </span></div><div class="t m1 x0 h4 y65 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y66 ff3 fs1 fc0 sc0 ls9 wsb">8) <span class="_16 blank"> </span>C<span class="_2 blank"></span>onsidere <span class="_18 blank"> </span>a <span class="_18 blank"> </span>distribuição <span class="_18 blank"> </span>conjunta <span class="_18 blank"> </span>de <span class="_18 blank"> </span>X <span class="_16 blank"> </span>e <span class="_4 blank"> </span>Y, <span class="_16 blank"> </span>p<span class="_2 blank"></span>arcialmente <span class="_18 blank"> </span>conhecida, <span class="_4 blank"> </span>dada <span class="_16 blank"> </span>a <span class="_4 blank"> </span>tabela </div><div class="t m1 x0 h4 y67 ff3 fs1 fc0 sc0 ls9 wsb">XXXX. </div><div class="t m1 x0 h4 y68 ff3 fs1 fc0 sc0 ls9 wsb">a) complete a tabela, <span class="_2 blank"></span>considerando <span class="_2 blank"></span>X e Y independentes<span class="_2 blank"></span> </div><div class="t m1 x0 h4 y69 ff3 fs1 fc0 sc0 ls9 wsb">b) calcule as médias e a<span class="_2 blank"></span> variânci<span class="_2 blank"></span>as de X e Y </div><div class="t m1 x0 h4 y6a ff3 fs1 fc0 sc0 ls9 wsb">c) obtenha as distribui<span class="_2 blank"></span>ções condicionais de Y<span class="_2 blank"></span>, dado que X=0, e de<span class="_2 blank"></span> X, dado que Y=1.<span class="_2 blank"></span> </div><div class="t m1 x0 h4 y6b ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y6c ff3 fs1 fc0 sc0 ls9 wsb"> <span class="_9 blank"> </span> <span class="_9 blank"> </span> <span class="_9 blank"> </span> <span class="_9 blank"> </span>Tabela \u2013 Distribuição<span class="_2 blank"></span> conjunta de X e Y </div><div class="t m1 x18 h4 y6d ff3 fs1 fc0 sc0 ls9 wsb"> Y</div><div class="c x19 y6e w3 hb"><div class="t m1 xf h4 y6f ff3 fs1 fc0 sc0 ls9 wsb"> </div></div><div class="t m1 x18 h12 y70 ff3 fs1 fc0 sc0 ls9 wsb"> X <span class="_a blank"> </span><span class="v5">-1 <span class="_b blank"> </span>0 <span class="_a blank"> </span>1 <span class="_19 blank"> </span>P(X) </span></div><div class="t m1 x21 h4 y71 ff3 fs1 fc0 sc0 ls9 wsb">-1 <span class="_1a blank"> </span>1/12 <span class="_e blank"> </span> <span class="_14 blank"> </span> <span class="_14 blank"> </span> </div><div class="t m1 x1a h4 y72 ff3 fs1 fc0 sc0 ls9 wsb">0 <span class="_1b blank"> </span> <span class="_13 blank"> </span> <span class="_14 blank"> </span> <span class="_10 blank"> </span>1/3 </div><div class="t m1 x1a h4 y73 ff3 fs1 fc0 sc0 ls9 wsb">1 <span class="_d blank"> </span>1/4 <span class="_1c blank"> </span> <span class="_1d blank"> </span>1/4 <span class="_10 blank"> </span> </div><div class="t m1 x22 h4 y74 ff3 fs1 fc0 sc0 ls9 wsb">P(Y) <span class="_1e blank"> </span> <span class="_13 blank"> </span> <span class="_14 blank"> </span> <span class="_c blank"> </span>1 </div><div class="t m1 x0 h4 y75 ff3 fs1 fc0 sc0 ls9 wsb">b) </div><div class="t m1 x0 h8 y76 ff4 fs1 fc0 sc0 lsa">9<span class="ls9 ws1 v1">\ue00f</span><span class="lsb">\ue010<span class="ls5 v1">\ue012</span><span class="ls9">\ue003</span></span></div><div class="t m2 x1 h6 y77 ff4 fs2 fc0 sc0 ls9">\ue014</div><div class="t m2 x1 h6 y78 ff4 fs2 fc0 sc0 ls9">:</div><div class="t m1 x17 h4 y76 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h8 y79 ff4 fs1 fc0 sc0 lsa">9<span class="ls9 ws1 v1">\ue00f<span class="v2">*</span><span class="ls2">\ue012</span></span><span class="ls9 wsd">\ue003 \ue005<span class="ff3 wsb"> </span></span></div><div class="t m1 x0 h8 y7a ff4 fs1 fc0 sc0 ls9 ws1">(\ue01b)<span class="v1">\ue00f</span>\ue010<span class="ls5 v1">\ue012</span>\ue003</div><div class="t m2 x23 h6 y7b ff4 fs2 fc0 sc0 ls9">;</div><div class="t m2 x23 h6 y7c ff4 fs2 fc0 sc0 ls9"><</div><div class="t m1 x24 h4 y7a ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h8 y7d ff4 fs1 fc0 sc0 ls9 ws1">(\ue01b)<span class="v1">\ue00f</span>*<span class="ls5 v1">\ue012</span><span class="ws4">\ue003 \ue007<span class="ff3 wsb"> </span></span></div><div class="t m1 x0 h5 y7e ff3 fs1 fc0 sc0 ls9 wsb">c) <span class="ff4 ws1">\ue005\ue0064</span><span class="lsc"> </span><span class="ff4 ws1">\ue00c\ue00c\ue005\ue0064\ue00c\ue00c<span class="_2 blank"></span><span class="ff3 wsb"> </span></span></div><div class="t m2 x25 h6 y7f ff4 fs2 fc0 sc0 ls9">\ue014</div><div class="t m2 x25 h6 y80 ff4 fs2 fc0 sc0 ls9">:</div><div class="t m1 xa h5 y7e ff4 fs1 fc0 sc0 ls9 ws1">\ue00c\ue00c\ue00c<span class="ff3 wsb"> </span></div><div class="t m2 x12 h6 y7f ff4 fs2 fc0 sc0 ls9">\ue014</div><div class="t m2 x12 h6 y80 ff4 fs2 fc0 sc0 ls9">:</div><div class="t m1 x26 h5 y7e ff4 fs1 fc0 sc0 ls9 ws1">\ue00c\ue00c\ue00c</div><div class="t m2 x27 h6 y7f ff4 fs2 fc0 sc0 ls9">\ue014</div><div class="t m2 x27 h6 y80 ff4 fs2 fc0 sc0 ls9">\ue015</div><div class="t m1 x28 h4 y7e ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y81 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y82 ff3 fs1 fc0 sc0 ls9 wsb">9) Sabendo <span class="_3 blank"></span>q<span class="_4 blank"> </span>ue numa <span class="_2 blank"></span>população<span class="_2 blank"></span> de 100.000 ha<span class="_3 blank"></span>bitantes ocorrem 2 h<span class="_2 blank"></span>omicí<span class="_3 blank"></span>d<span class="_4 blank"> </span>ios por ano<span class="_3 blank"></span>, </div><div class="t m1 x0 h4 y83 ff3 fs1 fc0 sc0 ls9 wsb">numa cidade de 200<span class="_2 blank"></span>.000 habitantes pode<span class="_2 blank"></span>mos afirmar que: </div><div class="t m1 x0 h4 y84 ff3 fs1 fc0 sc0 ls9 wsb">a) Em média ocorre<span class="_2 blank"></span>m 4 homicí<span class="_2 blank"></span>dios por ano </div><div class="t m1 x0 h4 y85 ff3 fs1 fc0 sc0 ls9 wsb">b) <span class="_3 blank"></span>Num <span class="_3 blank"></span>ano <span class="_3 blank"></span>qual<span class="_2 blank"></span>quer, <span class="_3 blank"></span>a <span class="_3 blank"></span>probabil<span class="_2 blank"></span>idade <span class="_3 blank"></span>de <span class="_3 blank"></span>ocorrer <span class="_3 blank"></span>u<span class="_3 blank"></span>m<span class="_4 blank"> </span> <span class="_3 blank"></span>homicí<span class="_3 blank"></span>dio <span class="_3 blank"></span>é <span class="_3 blank"></span>aproximadamente1,5% </div><div class="t m1 x0 h4 y86 ff3 fs1 fc0 sc0 ls9 wsb">c) Ocorrem 2 homicí<span class="_3 blank"></span>dios em um ano com probabili<span class="_2 blank"></span>dade de aproximadamente 14<span class="_2 blank"></span>,65% </div><div class="t m1 x0 h4 y87 ff3 fs1 fc0 sc0 ls9 wsb">d) Ocorrem mais de<span class="_2 blank"></span> 2 homicídi<span class="_2 blank"></span>os com probabilidade de aprox<span class="_2 blank"></span>imadamente 67,19% </div><div class="t m1 x0 h4 y88 ff3 fs1 fc0 sc0 ls9 wsb">Justifique algebricament<span class="_2 blank"></span>e se é Verdadeiro ou Fal<span class="_3 blank"></span>sa <span class="_4 blank"> </span>cada afirmativ<span class="_2 blank"></span>a. </div><div class="t m1 x0 h4 y89 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h5 y8a ff4 fs1 fc0 sc0 ls9 ws1">\ue01b\ue012\ue00c\ue00c\ue00c\ue00c(\ue00d)2\ue01b2\ue00d3)\ue01b<span class="ff3 wsb"> </span></div><div class="t m1 x0 h5 y8b ff4 fs1 fc0 sc0 ls9 ws1">\ue01d\ue012\ue00c\ue00c\ue00c\ue00c/\ue01b0%\ue01b<span class="ff3 wsb"> </span></div><div class="t m1 x0 h5 y8c ff4 fs1 fc0 sc0 ls9 ws1">1\ue012\ue00c\ue00c\ue00c\ue00c(\ue00d)2\ue01b2\ue00d3)\ue01b<span class="_2 blank"></span><span class="ff3 wsb"> </span></div><div class="t m1 x0 h5 y8d ff4 fs1 fc0 sc0 ls9 ws1">2\ue012\ue00c\ue00c\ue00c/\ue01b0%\ue01b<span class="ff3 wsb"> </span></div><div class="t m1 x0 h4 y8e ff3 fs1 fc0 sc0 ls9 wsb"> </div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf3" class="pf w0 h0" data-page-no="3"><div class="pc pc3 w0 h0"><div class="t m0 x0 h2 y1 ff1 fs0 fc0 sc0 ls9 wsb">José Gracioli <span class="_0 blank"> </span> <span class="_1 blank"> </span>Estatística I </div><div class="t m1 x0 h4 y8f ff3 fs1 fc0 sc0 ls9 wsb">10) (ANPEC \u2013 2011<span class="_2 blank"></span>) A v<span class="_2 blank"></span>ariável aleatória discre<span class="_2 blank"></span>ta assume<span class="_2 blank"></span> apenas valo<span class="_2 blank"></span>res 0,1,2,3,4 e 5. </div><div class="t m1 x0 h4 y90 ff3 fs1 fc0 sc0 ls9 wsb">A função densidade de<span class="_2 blank"></span> probabili<span class="_2 blank"></span>dade de X é dada por <span class="_2 blank"></span> </div><div class="t m1 x0 h4 y91 ff3 fs1 fc0 sc0 ls9 wsb"> <span class="_9 blank"> </span>P(X=0)=P(X=1)=P<span class="_2 blank"></span>(X=2)=P(X=3)=a </div><div class="t m1 x0 h4 y92 ff3 fs1 fc0 sc0 ls9 wsb"> <span class="_9 blank"> </span>P(X=4)=P(X=5)=b </div><div class="t m1 x0 h4 y93 ff3 fs1 fc0 sc0 ls9 wsb"> <span class="_9 blank"> </span>P(X<span class="ff5 lsd">\u2265</span>2)=3P(X<2)<span class="_2 blank"></span> </div><div class="t m1 x0 h4 y94 ff3 fs1 fc0 sc0 ls9 wsb">Sabendo <span class="_3 blank"></span>que <span class="_3 blank"></span>E(X) <span class="_3 blank"></span>e <span class="_3 blank"></span>V(X) <span class="_3 blank"></span>são <span class="_3 blank"></span>respectivamente, <span class="_3 blank"></span>esperança <span class="_3 blank"></span>e <span class="_3 blank"></span>variânci<span class="_2 blank"></span>a. <span class="_3 blank"></span>Justifique <span class="_3 blank"></span>se <span class="_3 blank"></span>são </div><div class="t m1 x0 h4 y95 ff3 fs1 fc0 sc0 ls9 wsb">ou não corretas as a<span class="_2 blank"></span>firmativa<span class="_2 blank"></span>s: </div><div class="t m1 x0 h4 y96 ff3 fs1 fc0 sc0 ls9 wsb">a) para que a função d<span class="_2 blank"></span>e densidade de proba<span class="_2 blank"></span>bilidade seja váli<span class="_2 blank"></span>da, a=1/4 e b=1/8 </div><div class="t m1 x0 h4 y97 ff3 fs1 fc0 sc0 ls9 wsb">b) E(X) = 3 </div><div class="t m1 x0 h4 y98 ff3 fs1 fc0 sc0 ls9 wsb">c) V(X) = 12 </div><div class="t m1 x0 h4 y99 ff3 fs1 fc0 sc0 ls9 wsb">d) defina Z= 3 + 4x.<span class="_2 blank"></span> Então a covariância de Z<span class="_2 blank"></span> e X é igual a 12<span class="_2 blank"></span> </div><div class="t m1 x0 h4 y9a ff3 fs1 fc0 sc0 ls9 wsb">e) a pr<span class="_4 blank"> </span>obabili<span class="_2 blank"></span>dade de q<span class="_4 blank"> </span>ue a soma de duas variáveis independentes provenientes desta </div><div class="t m1 x0 h4 y9b ff3 fs1 fc0 sc0 ls9 wsb">distribuição exceda 7 é<span class="_2 blank"></span> 1/8 </div><div class="t m1 x0 h4 y9c ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y9d ff3 fs1 fc0 sc0 ls9 wsb">a) Falsa </div><div class="t m1 x0 h4 y9e ff3 fs1 fc0 sc0 ls9 wsb">b) Verdadeira </div><div class="t m1 x0 h4 y9f ff3 fs1 fc0 sc0 ls9 wsb">c) Falsa </div><div class="t m1 x0 h4 ya0 ff3 fs1 fc0 sc0 ls9 wsb">d) Verdadeira </div><div class="t m1 x0 h4 ya1 ff3 fs1 fc0 sc0 ls9 wsb">e) Falsa </div><div class="t m1 x0 h4 ya2 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h5 ya3 ff3 fs1 fc0 sc0 ls9 wsb">11) Prove que <span class="ff4 wsa">+&,\ue00f<span class="_2 blank"></span>\ue010\ue006 \ue01b*<span class="_17 blank"> </span>=<span class="_7 blank"> </span>\ue01d5<span class="_4 blank"></span>\ue012<span class="_17 blank"> </span>\ue003<span class="_1f blank"> </span>\ue01b+&,\ue00f\ue010\ue006 *\ue012<span class="_17 blank"> </span>=<span class="_6 blank"> </span>\ue01d+&,\ue00f\ue010\ue006 5\ue012\ue006 &>2\ue00d\ue00c\ue01b\ue00c\ue00d\ue00c\ue01d\ue00c%.&\ue00c1&>%?\ue01b>?\ue00d%<span class="_2 blank"></span><span class="ff3 wsb"> </span></span></div><div class="t m1 x0 h4 ya4 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 ya5 ff3 fs1 fc0 sc0 ls9 wsb">12) Num <span class="_4 blank"> </span>encontro de atletas para <span class="_4 blank"> </span>uma competição, 35% <span class="_4 blank"> </span>são americanos<span class="_2 blank"></span>, 25% <span class="_4 blank"> </span>russos, </div><div class="t m1 x0 h4 ya6 ff3 fs1 fc0 sc0 ls9 wsb">20% ale<span class="_2 blank"></span>mães, 15%<span class="_3 blank"></span> franceses e <span class="_2 blank"></span>5% <span class="_2 blank"></span>brasileiros. P<span class="_3 blank"></span>ara fins de<span class="_3 blank"></span> um treino <span class="_2 blank"></span>escolheu-se <span class="_2 blank"></span>uma<span class="_3 blank"></span> </div><div class="t m1 x0 h4 ya7 ff3 fs1 fc0 sc0 ls9 wsb">amostra <span class="_17 blank"> </span>de <span class="_6 blank"> </span>10 <span class="_17 blank"> </span>atletas, <span class="_6 blank"> </span>qual <span class="_17 blank"> </span>a <span class="_17 blank"> </span>p<span class="_2 blank"></span>robabilidade <span class="_6 blank"> </span>de <span class="_17 blank"> </span>termos <span class="_17 blank"> </span>3 <span class="_6 blank"> </span>americanos, <span class="_6 blank"> </span>3 <span class="_17 blank"> </span>russos, <span class="_6 blank"> </span>2 </div><div class="t m1 x0 h4 ya8 ff3 fs1 fc0 sc0 ls9 wsb">alemães, 1 francês e<span class="_2 blank"></span> 1 brasileiro. </div><div class="t m1 x0 h4 ya9 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h5 yaa ff4 fs1 fc0 sc0 ls9 ws1">\ue007\ue006\ue005\ue0078<span class="ff3 wsb"> </span></div><div class="t m1 x0 h4 yab ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 yac ff3 fs1 fc0 sc0 ls9 wsb">13) <span class="_7 blank"> </span>Em <span class="_7 blank"> </span>um <span class="_7 blank"> </span>li<span class="_2 blank"></span>vro <span class="_7 blank"> </span>de <span class="_7 blank"> </span>600 <span class="_7 blank"> </span>páginas <span class="_20 blank"> </span>tem <span class="_20 blank"> </span>distribuídos <span class="_7 blank"> </span>aleatoriamente <span class="_20 blank"> </span>300 <span class="_20 blank"> </span>erros. <span class="_7 blank"> </span>Qual <span class="_20 blank"> </span>a </div><div class="t m1 x0 h4 yad ff3 fs1 fc0 sc0 ls9 wsb">probabilidade de uma<span class="_2 blank"></span> página conter: </div><div class="t m1 x0 h4 yae ff3 fs1 fc0 sc0 ls9 wsb">a) No máximo 2 erros<span class="_3 blank"></span> </div><div class="t m1 x0 h4 yaf ff3 fs1 fc0 sc0 ls9 wsb">b) Um erro por pá<span class="_2 blank"></span>gina </div><div class="t m1 x0 h4 yb0 ff3 fs1 fc0 sc0 ls9 wsb">c) Qual o desvi<span class="_2 blank"></span>o padrão de erros </div><div class="t m1 x0 h14 yb1 ff2 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h5 yb2 ff4 fs1 fc0 sc0 ls9 wse">\ue01b\ue012 6 @\ue01c\ue0064$8<span class="ff3 wsb"> </span></div><div class="t m1 x0 h5 yb3 ff4 fs1 fc0 sc0 ls9 wsd">\ue01d\ue012 6 \ue009\ue005\ue006\ue009\ue0098<span class="ff3 wsb"> </span></div><div class="t m1 x0 h5 yb4 ff4 fs1 fc0 sc0 ls9 wse">1\ue012 6 \ue005\ue0067\ue007<span class="ff3 wsb"> </span></div><div class="t m1 x0 h4 yb5 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 yb6 ff3 fs1 fc0 sc0 ls9 wsb">14) Se<span class="_3 blank"></span>j<span class="_4 blank"> </span>am <span class="_3 blank"></span>X e <span class="_3 blank"></span>Y v<span class="_2 blank"></span>ariáveis <span class="_2 blank"></span>aleatórias <span class="_3 blank"></span>discretas <span class="_3 blank"></span>e Z=6X+5Y. <span class="_3 blank"></span>Justifique <span class="_2 blank"></span>algebricamente <span class="_3 blank"></span>se </div><div class="t m1 x0 h4 yb7 ff3 fs1 fc0 sc0 ls9 wsb">é Verdadeira ou Falsa<span class="_2 blank"></span> as seguintes a<span class="_2 blank"></span>firmações: </div><div class="t m1 x0 h4 yb8 ff3 fs1 fc0 sc0 ls9 wsb">a) Var(Z)=36Var(X) + 25<span class="_2 blank"></span>Var(Y) + 30Cov<span class="_2 blank"></span>(X,Y) </div><div class="t m1 x0 h4 yb9 ff3 fs1 fc0 sc0 ls9 wsb">b) Cov(Z,Y) = 6Cov<span class="_2 blank"></span>(X,Y) + 6Var(X) + 5 Var<span class="_3 blank"></span>(<span class="_4 blank"> </span>Y) </div><div class="t m1 x0 h4 yba ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h5 ybb ff4 fs1 fc0 sc0 ls9 ws1">\ue01b\ue012\ue00c\ue00c/\ue01b0%\ue01b\ue00c\ue00c\ue00c<span class="ff2 wsb"> </span></div><div class="t m1 x0 h5 ybc ff4 fs1 fc0 sc0 ls9 ws1">\ue01d\ue012\ue00c\ue00c/\ue01b0%\ue01b\ue00c\ue00c\ue00c\ue00c<span class="ff3 wsb"> </span></div><div class="t m1 x0 h4 ybd ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 ybe ff3 fs1 fc0 sc0 ls9 wsb">15) Duas lo<span class="_2 blank"></span>jas de uma c<span class="_3 blank"></span>adeia de Fast Foods, <span class="_2 blank"></span>uma situada <span class="_2 blank"></span>em Ipane<span class="_2 blank"></span>ma outra no <span class="_2 blank"></span>centro<span class="_2 blank"></span> </div><div class="t m1 x0 h4 ybf ff3 fs1 fc0 sc0 ls9 wsb">possuem <span class="_4 blank"> </span>r<span class="_4 blank"> </span>espectiv<span class="_3 blank"></span>am<span class="_4 blank"> </span>ente <span class="_18 blank"> </span>15 <span class="_18 blank"> </span>e <span class="_18 blank"> </span>25 <span class="_4 blank"> </span>f<span class="_4 blank"> </span>uncioná<span class="_2 blank"></span>rios <span class="_4 blank"> </span>no <span class="_18 blank"> </span>t<span class="_4 blank"> </span>otal <span class="_4 blank"> </span>dos <span class="_18 blank"> </span>turnos. <span class="_18 blank"> </span>Um <span class="_18 blank"> </span>representante<span class="_2 blank"></span> </div><div class="t m1 x0 h4 yc0 ff3 fs1 fc0 sc0 ls9 wsb">da <span class="_7 blank"> </span>f<span class="_4 blank"> </span>ranquia <span class="_6 blank"> </span>destes <span class="_6 blank"> </span>Fast <span class="_7 blank"> </span>Foods <span class="_6 blank"> </span>deseja <span class="_6 blank"> </span>f<span class="_4 blank"> </span>azer <span class="_7 blank"> </span>uma <span class="_6 blank"> </span>pesquisa <span class="_6 blank"> </span>sobre <span class="_6 blank"> </span>a <span class="_6 blank"> </span>impressão <span class="_6 blank"> </span>dos </div><div class="t m1 x0 h4 yc1 ff3 fs1 fc0 sc0 ls9 wsb">funcionários e<span class="_2 blank"></span>m relação<span class="_2 blank"></span> ao <span class="_2 blank"></span>ambiente de<span class="_3 blank"></span> trabalho e <span class="_2 blank"></span>sendo a<span class="_2 blank"></span>ssim escolheu<span class="_2 blank"></span> uma a<span class="_3 blank"></span>m<span class="_4 blank"> </span>ostra<span class="_3 blank"></span> </div><div class="t m1 x0 h4 yc2 ff3 fs1 fc0 sc0 ls9 wsb">aleatória de 10 funcio<span class="_2 blank"></span>nários. Pregunta-se:<span class="_2 blank"></span> </div><div class="t m1 x0 h4 yc3 ff3 fs1 fc0 sc0 ls9 wsb">a) Qual a probabili<span class="_2 blank"></span>dade de nenhum funcionário<span class="_2 blank"></span> trabalhar na loja de<span class="_2 blank"></span> Ipanema </div><div class="t m1 x0 h4 yc4 ff3 fs1 fc0 sc0 ls9 wsb">b) Qual a probabili<span class="_2 blank"></span>dade de pelo menos 1 <span class="_2 blank"></span>funcionário trabalhar em cent<span class="_2 blank"></span>ro </div><div class="t m1 x0 h4 yc5 ff3 fs1 fc0 sc0 ls9 wsb">c) Qual a probabilid<span class="_2 blank"></span>ade de ter pelo menos<span class="_2 blank"></span> 75% dos funcioná<span class="_2 blank"></span>rios do centro<span class="_2 blank"></span> </div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf4" class="pf w0 h0" data-page-no="4"><div class="pc pc4 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x29 yc6 w5 h15" alt="" src="https://files.passeidireto.com/7203375d-9041-4a32-ba07-d68c0a94444f/bg4.png"><div class="t m0 x0 h2 y1 ff1 fs0 fc0 sc0 ls9 wsb">José Gracioli <span class="_0 blank"> </span> <span class="_1 blank"> </span>Estatística I </div><div class="t m1 x0 h14 yc7 ff2 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h5 yc8 ff4 fs1 fc0 sc0 ls9 wse">\ue01b\ue012 6 \ue005\ue006\ue009@8\ue00c\ue00c\ue00c<span class="ff3 wsb"> </span></div><div class="t m1 x0 h5 yc9 ff4 fs1 fc0 sc0 ls9 wsd">\ue01d\ue012 6 \ue007\ue005\ue0058\ue00c\ue00c\ue00c<span class="ff3 wsb"> </span></div><div class="t m1 x0 h5 y7 ff4 fs1 fc0 sc0 ls9 wse">1\ue012 6 \ue0077\ue006\ue00a8<span class="ff3 wsb"> </span></div><div class="t m1 x0 h4 y57 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y58 ff3 fs1 fc0 sc0 ls9 wsb">16) Uma variáv<span class="_2 blank"></span>el aleatória discreta tem a <span class="_2 blank"></span>função densid<span class="_2 blank"></span>ade de probabilidade dada po<span class="_2 blank"></span>r: </div><div class="t m1 x0 h9 yca ff4 fs1 fc0 sc0 ls9 ws1">\ue00e<span class="v1">\ue00f</span><span class="lsb">\ue010<span class="ls5 v1">\ue012</span><span class="lse">\ue003</span></span><span class="v3">\ue01c</span></div><div class="t m1 x1 h10 ycb ff4 fs1 fc0 sc0 ls9 wsf">\ue01b\ue01f <span class="ws4 v4">\ue00c&>2\ue00d\ue00c\ue01f \ue003 \ue007\ue006\ue008\ue006\ue00a\ue006\ue01c\ue00c\ue00c\ue00d\ue00c\ue00c\ue01b \ue003 1&>%?\ue01b>?\ue00d<span class="_3 blank"></span><span class="ff3 wsb"> </span></span></div><div class="t m1 x0 h4 ycc ff3 fs1 fc0 sc0 ls9 wsb">a) calcule o val<span class="_2 blank"></span>or de a </div><div class="t m1 x0 h4 ycd ff3 fs1 fc0 sc0 ls9 wsb">b) calcule P(X>6) </div><div class="t m1 x0 h14 yce ff2 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h5 ycf ff4 fs1 fc0 sc0 ls9 wsd">\ue01b\ue012\ue00c\ue00c\ue00c\ue01b \ue003 \ue0074<span class="ff3 wsb"> </span></div><div class="t m1 x0 h9 y22 ff4 fs1 fc0 sc0 ls9 ws10">\ue01d\ue012 \ue00c\ue00c\ue00c\ue00c<span class="_21 blank"> </span><span class="v3">\ue007</span></div><div class="t m1 x29 h5 yd0 ff4 fs1 fc0 sc0 ls9 ws1">\ue0074<span class="ff3 wsb v4"> </span></div><div class="t m1 x0 h4 y9d ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 yd1 ff3 fs1 fc0 sc0 ls9 wsb">17) <span class="_22 blank"> </span>Sejam <span class="_22 blank"> </span>X <span class="_22 blank"> </span>e<span class="_2 blank"></span> <span class="_22 blank"> </span>Y <span class="_22 blank"> </span>duas <span class="_22 blank"> </span>v<span class="_3 blank"></span>ariáveis <span class="_22 blank"> </span>aleatórias <span class="_22 blank"> </span>independ<span class="_2 blank"></span>entes <span class="_22 blank"> </span>com <span class="_22 blank"> </span>as <span class="_22 blank"> </span>se<span class="_3 blank"></span>g<span class="_4 blank"> </span>uintes </div><div class="t m1 x0 h4 y9f ff3 fs1 fc0 sc0 ls9 wsb">distribuições: </div><div class="t m1 x0 h4 ya0 ff3 fs1 fc0 sc0 lsf wsb"> <span class="ls9 v6">X <span class="_23 blank"> </span>1 <span class="_c blank"> </span>3 <span class="_24 blank"> </span> <span class="_25 blank"> </span>Y <span class="_24 blank"> </span>5 <span class="_26 blank"> </span>10 <span class="_27 blank"> </span>12 </span></div><div class="t m1 x2a h4 yd2 ff3 fs1 fc0 sc0 ls9 wsb">P(X) <span class="_28 blank"> </span>0,6 <span class="_e blank"> </span>0<span class="_2 blank"></span>,4 <span class="_13 blank"> </span> <span class="_29 blank"> </span>P(Y) <span class="_2a blank"> </span>0,3 <span class="_2b blank"> </span>0,5 <span class="_2b blank"> </span>0,2 </div><div class="t m1 x0 h4 y67 ff3 fs1 fc0 sc0 ls9 wsb">Calcule: </div><div class="t m1 x0 h4 y68 ff3 fs1 fc0 sc0 ls9 wsb">a) a distribuição conjun<span class="_2 blank"></span>ta de (X,Y) </div><div class="t m1 x0 h4 y69 ff3 fs1 fc0 sc0 ls9 wsb">b) E(X) , E(Y) e E(<span class="_2 blank"></span>XY) </div><div class="t m1 x0 h4 y6a ff3 fs1 fc0 sc0 ls9 wsb">c) Var(X) e Var(Y)<span class="_3 blank"></span> </div><div class="t m1 x0 h4 y6b ff3 fs1 fc0 sc0 ls9 wsb">d) Cov(X,Y) </div><div class="t m1 x0 h14 yd3 ff2 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h8 yd4 ff4 fs1 fc0 sc0 ls9 ws1">\ue01d\ue012\ue00c9<span class="v1">\ue00f</span><span class="lsb">\ue010<span class="ls5 v1">\ue012</span></span><span class="ws4">\ue003 \ue007\ue006\ue01c\ue00c\ue00c<span class="ff3 wsb"> </span></span></div><div class="t m1 x0 h8 y70 ff4 fs1 fc0 sc0 ls9 ws1">\ue00c\ue00c\ue00c\ue00c\ue00c9<span class="v1">\ue00f</span>*<span class="ls5 v1">\ue012</span><span class="ws4">\ue003 \ue01c\ue006@<span class="ff3 wsb"> </span></span></div><div class="t m1 x0 h8 yd5 ff4 fs1 fc0 sc0 ls9 ws1">\ue00c\ue00c\ue00c\ue00c\ue00c9<span class="v1">\ue00f</span><span class="wsa">\ue010A *<span class="ls2 v1">\ue012</span><span class="ws4">\ue003 \ue007$\ue006\ue005\ue008<span class="ff3 wsb"> </span></span></span></div><div class="t m1 x0 h8 yd6 ff4 fs1 fc0 sc0 ls9 ws1">1\ue012\ue00c(\ue01b)<span class="v1">\ue00f</span>\ue010<span class="ls5 v1">\ue012</span><span class="ws4">\ue003 \ue005\ue006@$<span class="ff3 wsb"> </span></span></div><div class="t m1 x0 h8 yd7 ff4 fs1 fc0 sc0 ls9 ws1">\ue00c\ue00c\ue00c\ue00c\ue00c(\ue01b)<span class="v1">\ue00f</span>*<span class="ls5 v1">\ue012</span><span class="ws4">\ue003 7\ue006\ue005@<span class="ff3 wsb"> </span></span></div><div class="t m1 x0 h4 yd8 ff3 fs1 fc0 sc0 ls9 wsb">d) Cov(X,Y)=0 </div><div class="t m1 x0 h4 yd9 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 yda ff3 fs1 fc0 sc0 ls9 wsb">18) <span class="_18 blank"> </span>Segundo <span class="_18 blank"> </span>estudos <span class="_4 blank"> </span>feitos <span class="_16 blank"> </span>por<span class="_2 blank"></span> <span class="_18 blank"> </span>estudiosos, <span class="_18 blank"> </span>a <span class="_18 blank"> </span>probabilidade <span class="_4 blank"> </span>de <span class="_16 blank"> </span>uma <span class="_18 blank"> </span>pessoa<span class="_2 blank"></span> <span class="_18 blank"> </span>contrair <span class="_18 blank"> </span>o </div><div class="t m1 x0 h4 ydb ff3 fs1 fc0 sc0 ls9 wsb">virus HIV é de 90% quando tal pessoa é exposta<span class="_2 blank"></span>. Qual a probabilidade de que a quinta </div><div class="t m1 x0 h4 ydc ff3 fs1 fc0 sc0 ls9 wsb">pessoa exposta ao v<span class="_2 blank"></span>írus ser a primeira a<span class="_2 blank"></span> ser infectada? </div><div class="t m1 x0 h4 ydd ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h5 yde ff4 fs1 fc0 sc0 ls9 wsd">\ue003 \ue005\ue006\ue005\ue0078<span class="ff3 wsb"> </span></div><div class="t m1 x0 h4 ydf ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 ye0 ff3 fs1 fc0 sc0 ls9 wsb">19) <span class="_4 blank"> </span>No <span class="_18 blank"> </span>aeroporto <span class="_4 blank"> </span>do <span class="_18 blank"> </span>Santos <span class="_4 blank"> </span>Dumont, <span class="_18 blank"> </span>a <span class="_4 blank"> </span>chegada <span class="_4 blank"> </span>dos <span class="_18 blank"> </span>aviões <span class="_4 blank"> </span>acontece <span class="_4 blank"> </span>a <span class="_18 blank"> </span>uma <span class="_18 blank"> </span>razão <span class="_4 blank"> </span>de </div><div class="t m1 x0 h4 ye1 ff3 fs1 fc0 sc0 ls9 wsb">144 <span class="_3 blank"></span>aviões <span class="_3 blank"></span>por<span class="_2 blank"></span> <span class="_3 blank"></span>dia. <span class="_3 blank"></span>Consi<span class="_3 blank"></span>derando <span class="_3 blank"></span>que <span class="_3 blank"></span>esta <span class="_3 blank"></span>razã<span class="_2 blank"></span>o <span class="_3 blank"></span>seja<span class="_2 blank"></span> <span class="_3 blank"></span>bem <span class="_3 blank"></span>aprox<span class="_2 blank"></span>imada <span class="_3 blank"></span>por <span class="_3 blank"></span>um<span class="_2 blank"></span> <span class="_3 blank"></span>processo </div><div class="t m1 x0 h4 ye2 ff3 fs1 fc0 sc0 ls9 wsb">de <span class="_16 blank"> </span>Poisson, <span class="_16 blank"> </span>a <span class="_18 blank"> </span>probabilidade <span class="_16 blank"> </span>de, <span class="_16 blank"> </span>em <span class="_16 blank"> </span>u<span class="_2 blank"></span>m <span class="_16 blank"> </span>intervalo<span class="_2 blank"></span> <span class="_16 blank"> </span>de <span class="_16 blank"> </span>1 <span class="_16 blank"> </span>hora <span class="_16 blank"> </span>e<span class="_2 blank"></span> <span class="_16 blank"> </span>dez <span class="_16 blank"> </span>minuto<span class="_2 blank"></span>s, <span class="_16 blank"> </span>chegarem<span class="_2 blank"></span> </div><div class="t m1 x0 h4 ye3 ff3 fs1 fc0 sc0 ls9 wsb">pelo menos 4 aviõ<span class="_2 blank"></span>es é de: </div><div class="t m1 x0 h4 ye4 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h5 ye5 ff4 fs1 fc0 sc0 ls9 wsd">6 @\ue007\ue006\ue01c\ue0088<span class="ff3 wsb"> </span></div><div class="t m1 x0 h4 ye6 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 ye7 ff3 fs1 fc0 sc0 ls9 wsb">20) <span class="_20 blank"> </span>Se <span class="_20 blank"> </span>35% <span class="_20 blank"> </span>das <span class="_20 blank"> </span>peças <span class="_20 blank"> </span>produzid<span class="_2 blank"></span>as <span class="_20 blank"> </span>por <span class="_20 blank"> </span>uma <span class="_20 blank"> </span>máquina <span class="_20 blank"> </span>são <span class="_20 blank"> </span>defeituosas, <span class="_20 blank"> </span>determinar <span class="_15 blank"> </span>a </div><div class="t m1 x0 h4 ye8 ff3 fs1 fc0 sc0 ls9 wsb">probabilidade de, en<span class="_2 blank"></span>tre 10 peças escolhi<span class="_2 blank"></span>das ao acaso: </div><div class="t m1 x0 h4 ye9 ff3 fs1 fc0 sc0 ls9 wsb">a) uma peça ser de<span class="_2 blank"></span>feituosa </div><div class="t m1 x0 h4 yea ff3 fs1 fc0 sc0 ls9 wsb">b) nenhuma peça se<span class="_2 blank"></span>r defeituosa </div><div class="t m1 x0 h4 yeb ff3 fs1 fc0 sc0 ls9 wsb">c) pelo menos uma peça<span class="_3 blank"></span> <span class="_4 blank"> </span>ser defeituosa<span class="_3 blank"></span> </div><div class="t m1 x0 h4 yec ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h5 yed ff4 fs1 fc0 sc0 ls9 wse">\ue01b\ue012 6 7\ue006\ue00848<span class="ff3 wsb"> </span></div><div class="t m1 x0 h5 yee ff4 fs1 fc0 sc0 ls9 wsd">\ue01d\ue012 6 \ue007\ue006\ue00948<span class="ff3 wsb"> </span></div><div class="t m1 x0 h5 yef ff4 fs1 fc0 sc0 ls9 wse">1\ue012 6 @\ue01c\ue006$48<span class="ff3 wsb"> </span></div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf5" class="pf w0 h0" data-page-no="5"><div class="pc pc5 w0 h0"><div class="t m0 x0 h2 y1 ff1 fs0 fc0 sc0 ls9 wsb">José Gracioli <span class="_0 blank"> </span> <span class="_1 blank"> </span>Estatística I </div><div class="t m1 x0 h4 y8f ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y90 ff3 fs1 fc0 sc0 ls9 wsb">21) <span class="_16 blank"> </span>Um <span class="_18 blank"> </span>dado <span class="_18 blank"> </span>viciado <span class="_18 blank"> </span>é <span class="_16 blank"> </span>lançado <span class="_18 blank"> </span>de <span class="_16 blank"> </span>modo <span class="_18 blank"> </span>que <span class="_16 blank"> </span>a <span class="_18 blank"> </span>face <span class="_16 blank"> </span>6<span class="_2 blank"></span> <span class="_16 blank"> </span>aparece <span class="_18 blank"> </span>0,3 <span class="_18 blank"> </span>das <span class="_18 blank"> </span>vezes, <span class="_16 blank"> </span>a <span class="_18 blank"> </span>face </div><div class="t m1 x0 h4 y91 ff3 fs1 fc0 sc0 ls9 wsb">oposta, <span class="_16 blank"> </span>1,<span class="_2 blank"></span> <span class="_16 blank"> </span>aparece <span class="_16 blank"> </span>0<span class="_2 blank"></span>,1 <span class="_16 blank"> </span>das <span class="_18 blank"> </span>vezes <span class="_16 blank"> </span>e <span class="_18 blank"> </span>cada <span class="_16 blank"> </span>uma <span class="_16 blank"> </span>das <span class="_18 blank"> </span>outras <span class="_16 blank"> </span>aparece<span class="_2 blank"></span> <span class="_16 blank"> </span>0,15 <span class="_18 blank"> </span>das <span class="_16 blank"> </span>vezes. <span class="_18 blank"> </span>O </div><div class="t m1 x0 h4 y92 ff3 fs1 fc0 sc0 ls9 wsb">dado é lançado 6 vez<span class="_3 blank"></span>es. Calcule a probabilidade de: </div><div class="t m1 x0 h4 y93 ff3 fs1 fc0 sc0 ls9 wsb">a) cada face aparecer<span class="_2 blank"></span> uma vez </div><div class="t m1 x0 h4 y94 ff3 fs1 fc0 sc0 ls9 wsb">b) as faces 6, 3 e 1 apar<span class="_2 blank"></span>ecem em dobro.<span class="_2 blank"></span> </div><div class="t m1 x0 h4 y95 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h5 yf0 ff4 fs1 fc0 sc0 ls9 wse">\ue01b\ue012 6 \ue007\ue006\ue005@8<span class="ff3 wsb"> </span></div><div class="t m1 x0 h5 yf1 ff4 fs1 fc0 sc0 ls9 wsd">\ue01d\ue012 6 \ue005\ue006\ue007\ue01c8<span class="ff3 wsb"> </span></div><div class="t m1 x0 h4 yf2 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 yf3 ff3 fs1 fc0 sc0 ls9 wsb">22) <span class="_15 blank"> </span>Um <span class="_15 blank"> </span>t<span class="_4 blank"> </span>ime <span class="_15 blank"> </span>tem <span class="_15 blank"> </span>2/3 <span class="_15 blank"> </span>de <span class="_15 blank"> </span>pr<span class="_4 blank"> </span>obabili<span class="_2 blank"></span>dade <span class="_15 blank"> </span>de <span class="_20 blank"> </span>vitória<span class="_3 blank"></span> <span class="_20 blank"> </span>sempre <span class="_16 blank"> </span>q<span class="_4 blank"> </span>ue <span class="_15 blank"> </span>joga. <span class="_15 blank"> </span>Se <span class="_15 blank"> </span>o <span class="_20 blank"> </span>time <span class="_16 blank"> </span>joga <span class="_20 blank"> </span>6 </div><div class="t m1 x0 h4 yf4 ff3 fs1 fc0 sc0 ls9 wsb">partidas, encontre a p<span class="_2 blank"></span>robabili<span class="_2 blank"></span>dade dele vencer: </div><div class="t m1 x0 h4 yf5 ff3 fs1 fc0 sc0 ls9 wsb">a) exatamente 2 pa<span class="_2 blank"></span>rtidas </div><div class="t m1 x0 h4 yf6 ff3 fs1 fc0 sc0 ls9 wsb">b) pelo menos 1 partida<span class="_3 blank"></span> </div><div class="t m1 x0 h4 yf7 ff3 fs1 fc0 sc0 ls9 wsb">c) mais que a metade da<span class="_3 blank"></span>s <span class="_4 blank"> </span>partidas<span class="_2 blank"></span> </div><div class="t m1 x0 h4 yf8 ff3 fs1 fc0 sc0 ls9 wsb">d) acima de 80% das pa<span class="_2 blank"></span>rtidas </div><div class="t m1 x0 h4 yf9 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h5 yfa ff4 fs1 fc0 sc0 ls9 wse">\ue01b\ue012 6 \ue01c\ue006\ue008\ue0098<span class="ff3 wsb"> </span></div><div class="t m1 x0 h5 yfb ff4 fs1 fc0 sc0 ls9 wsd">\ue01d\ue012 6 @@\ue006\ue01c$8<span class="ff3 wsb"> </span></div><div class="t m1 x0 h5 yfc ff4 fs1 fc0 sc0 ls9 ws11">1\ue012 \ue00c 6<span class="_5 blank"> </span>$\ue01c\ue006<span class="_4 blank"></span>\ue005\ue00a8<span class="_2 blank"></span><span class="ff3 wsb"> </span></div><div class="t m1 x0 h5 yfd ff4 fs1 fc0 sc0 ls9 wse">2\ue012 6 \ue0094\ue006\ue007\ue0088<span class="ff3 wsb"> </span></div><div class="t m1 x0 h4 y68 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y69 ff3 fs1 fc0 sc0 ls9 wsb">23) Numa estrada há 2<span class="_2 blank"></span> acidentes pra cada<span class="_2 blank"></span> 100 km. Qual<span class="_2 blank"></span> a probabilidade de <span class="_2 blank"></span>que em: </div><div class="t m1 x0 h4 y6a ff3 fs1 fc0 sc0 ls9 wsb">a) 250 km ocorram pelo <span class="_2 blank"></span>menos 3 acidentes?<span class="_3 blank"></span> </div><div class="t m1 x0 h4 y6b ff3 fs1 fc0 sc0 ls9 wsb">b) 300 km ocorram 5<span class="_2 blank"></span> acidentes? </div><div class="t m1 x0 h4 y6c ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h5 yd4 ff4 fs1 fc0 sc0 ls9 wse">\ue01b\ue012 6 \ue01c7\ue0064\ue0098<span class="ff3 wsb"> </span></div><div class="t m1 x0 h5 yfe ff4 fs1 fc0 sc0 ls9 wsd">\ue01d\ue012 6 \ue007$\ue006\ue005$8<span class="ff3 wsb"> </span></div><div class="t m1 x0 h4 yff ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h14 y100 ff3 fs1 fc0 sc0 ls9 ws9">24)<span class="ff2 wsb"> <span class="ff3">Uma <span class="_3 blank"></span>máquina produz<span class="_2 blank"></span> peças das <span class="_3 blank"></span>q<span class="_4 blank"> </span>uais<span class="_2 blank"></span> 90% s<span class="_3 blank"></span>ão perfeitas. Qual <span class="_2 blank"></span>a prob<span class="_2 blank"></span>abilidade<span class="_2 blank"></span> que </span></span></div><div class="t m1 x0 h4 y101 ff3 fs1 fc0 sc0 ls9 wsb">seja produzida uma pe<span class="_2 blank"></span>ça defeituosa na<span class="_2 blank"></span> terceira tentativa<span class="_2 blank"></span>? </div><div class="t m1 x0 h4 y102 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h5 y103 ff4 fs1 fc0 sc0 ls9 ws1">\ue01c\ue006\ue0078<span class="ff3 wsb"> </span></div><div class="t m1 x0 h4 y104 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y105 ff3 fs1 fc0 sc0 ls9 wsb">25) A <span class="_2 blank"></span>probabilidade <span class="_2 blank"></span>de u<span class="_3 blank"></span>m<span class="_4 blank"> </span> i<span class="_2 blank"></span>tem produzi<span class="_2 blank"></span>do por <span class="_2 blank"></span>uma <span class="_3 blank"></span>f<span class="_4 blank"> </span>ábrica <span class="_2 blank"></span>ser de<span class="_3 blank"></span>f<span class="_4 blank"> </span>eituosa <span class="_2 blank"></span>é 0,2. <span class="_2 blank"></span>Um lot<span class="_2 blank"></span>e </div><div class="t m1 x0 h4 y106 ff3 fs1 fc0 sc0 ls9 wsb">de <span class="_21 blank"> </span>10<span class="_3 blank"></span>.<span class="_4 blank"> </span>000 <span class="_1f blank"> </span>itens <span class="_21 blank"> </span>é<span class="_2 blank"></span> <span class="_21 blank"> </span>env<span class="_2 blank"></span>iado <span class="_2c blank"> </span>para <span class="_1f blank"> </span>o <span class="_2c blank"> </span>depósito. <span class="_1f blank"> </span>Encontre <span class="_2c blank"> </span>o <span class="_2c blank"> </span>número <span class="_1f blank"> </span>médio <span class="_2c blank"> </span>de <span class="_2c blank"> </span>itens </div><div class="t m1 x0 h4 y107 ff3 fs1 fc0 sc0 ls9 wsb">defeituosos e o desv<span class="_2 blank"></span>io-padrão deste lote. <span class="_2 blank"></span> </div><div class="t m1 x0 h4 y108 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h5 y109 ff4 fs1 fc0 sc0 ls9 ws1">\ue008\ue005\ue005\ue005\ue00c\ue00c\ue00d\ue00c\ue00c\ue00a\ue005<span class="ff3 wsb"> </span></div><div class="t m1 x0 h4 y10a ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y10b ff3 fs1 fc0 sc0 ls9 wsb">26) Uma co<span class="_2 blank"></span>nfecção <span class="_2 blank"></span>de Pe<span class="_2 blank"></span>trópolis recebe <span class="_2 blank"></span>uma <span class="_2 blank"></span>encomenda, <span class="_2 blank"></span>de um<span class="_2 blank"></span> cliente<span class="_2 blank"></span>, para p<span class="_3 blank"></span>r<span class="_4 blank"> </span>oduzir<span class="_3 blank"></span> </div><div class="t m1 x0 h4 y10c ff3 fs1 fc0 sc0 ls9 wsb">6 <span class="_4 blank"> </span>casacos. A <span class="_4 blank"> </span>probabilidade de <span class="_4 blank"> </span>se <span class="_4 blank"> </span>obter <span class="_4 blank"> </span>o casaco sem<span class="_4 blank"> </span> defeitos <span class="_4 blank"> </span>é <span class="_4 blank"> </span>de 0,90. <span class="_4 blank"> </span>O <span class="_4 blank"> </span>custo para </div><div class="t m1 x0 h4 y10d ff3 fs1 fc0 sc0 ls9 wsb">produzir <span class="_16 blank"> </span>cada <span class="_15 blank"> </span>casaco <span class="_15 blank"> </span>é <span class="_16 blank"> </span>de <span class="_15 blank"> </span>R$ <span class="_15 blank"> </span>25,00 <span class="_15 blank"> </span>e <span class="_15 blank"> </span>se <span class="_15 blank"> </span>apresentar <span class="_16 blank"> </span>algum <span class="_15 blank"> </span>defeito <span class="_16 blank"> </span>ocorre <span class="_20 blank"> </span>u<span class="_2 blank"></span>m <span class="_15 blank"> </span>custo<span class="_3 blank"></span> </div><div class="t m1 x0 h4 y10e ff3 fs1 fc0 sc0 ls9 wsb">adicional de 10% sobre <span class="_2 blank"></span>o custo original. Calcule:<span class="_2 blank"></span> </div><div class="t m1 x0 h4 y10f ff3 fs1 fc0 sc0 ls9 wsb">a) <span class="_16 blank"> </span>A <span class="_18 blank"> </span>probabilidade <span class="_18 blank"> </span>de <span class="_16 blank"> </span>seja <span class="_16 blank"> </span>neces<span class="_2 blank"></span>sário <span class="_18 blank"> </span>pr<span class="_4 blank"> </span>oduz<span class="_3 blank"></span>ir <span class="_16 blank"> </span>pelo <span class="_16 blank"> </span>menos <span class="_18 blank"> </span>9 <span class="_16 blank"> </span>casacos <span class="_18 blank"> </span>para <span class="_18 blank"> </span>atender <span class="_16 blank"> </span>o<span class="_2 blank"></span> </div><div class="t m1 x0 h4 y110 ff3 fs1 fc0 sc0 ls9 wsb">cliente? </div><div class="t m1 x0 h4 y111 ff3 fs1 fc0 sc0 ls9 wsb">b) Qual o<span class="_3 blank"></span> preço a <span class="_2 blank"></span>ser co<span class="_2 blank"></span>brado por cada<span class="_3 blank"></span> casaco para <span class="_3 blank"></span>q<span class="_4 blank"> </span>ue <span class="_2 blank"></span>espere u<span class="_2 blank"></span>m lucro <span class="_3 blank"></span>de R$ 200,0<span class="_2 blank"></span>0 </div><div class="t m1 x0 h4 y112 ff3 fs1 fc0 sc0 ls9 wsb">pela encomenda? </div><div class="t m1 x0 h4 y113 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h5 y114 ff4 fs1 fc0 sc0 ls9 ws1">B\ue012\ue00c<span class="_4 blank"></span>\ue009\ue006\ue01c\ue0078<span class="ff3 wsb"> </span></div><div class="t m1 x0 h5 y115 ff4 fs1 fc0 sc0 ls9 ws4">C\ue012\ue00cDE<span class="_4 blank"></span>FGH\ue00cIH\ue00cJBKBLH<span class="_1f blank"> </span>6 MN<span class="_4 blank"></span>\ue00c$\ue007\ue006\ue009@<span class="_2 blank"></span><span class="ff3 wsb"> </span></div><div class="t m1 x0 h4 y116 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y117 ff3 fs1 fc0 sc0 ls9 wsb">27) <span class="_16 blank"> </span>Um <span class="_16 blank"> </span>ven<span class="_2 blank"></span>dedor <span class="_16 blank"> </span>tem <span class="_16 blank"> </span>em <span class="_16 blank"> </span>seu<span class="_2 blank"></span> <span class="_16 blank"> </span>catálogo <span class="_16 blank"> </span>de <span class="_18 blank"> </span>vendas <span class="_16 blank"> </span>vários <span class="_16 blank"> </span>tipos <span class="_16 blank"> </span>de<span class="_2 blank"></span> <span class="_16 blank"> </span>vinhos. <span class="_16 blank"> </span>Deste <span class="_18 blank"> </span>total </div><div class="t m1 x0 h4 y118 ff3 fs1 fc0 sc0 ls9 wsb">50% <span class="_6 blank"> </span>são <span class="_17 blank"> </span>vinho<span class="_2 blank"></span>s <span class="_17 blank"> </span>chilenos,<span class="_2 blank"></span> <span class="_17 blank"> </span>30% <span class="_6 blank"> </span>são <span class="_17 blank"> </span>v<span class="_2 blank"></span>inhos <span class="_17 blank"> </span>a<span class="_3 blank"></span>rg<span class="_4 blank"> </span>entinos <span class="_6 blank"> </span>e <span class="_17 blank"> </span>20<span class="_2 blank"></span>% <span class="_6 blank"> </span>são <span class="_17 blank"> </span>vinhos <span class="_6 blank"> </span>italianos. </div><div class="t m1 x0 h4 y119 ff3 fs1 fc0 sc0 ls9 wsb">Suponha que um comp<span class="_2 blank"></span>rador escolha<span class="_2 blank"></span> comprar 10 vi<span class="_2 blank"></span>nhos ao acaso. </div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf6" class="pf w0 h0" data-page-no="6"><div class="pc pc6 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x3 y11a w6 h16" alt="" src="https://files.passeidireto.com/7203375d-9041-4a32-ba07-d68c0a94444f/bg6.png"><div class="t m0 x0 h2 y1 ff1 fs0 fc0 sc0 ls9 wsb">José Gracioli <span class="_0 blank"> </span> <span class="_1 blank"> </span>Estatística I </div><div class="t m1 x0 h4 y8f ff3 fs1 fc0 sc0 ls9 wsb">a) Qual a probabili<span class="_2 blank"></span>dade que tenham 5 chilenos,<span class="_2 blank"></span> 2 argentinos e<span class="_2 blank"></span> 3 italianos. </div><div class="t m1 x0 h4 y90 ff3 fs1 fc0 sc0 ls9 wsb">b) Calcule o seu val<span class="_2 blank"></span>or esperado para a comp<span class="_2 blank"></span>ra de vi<span class="_2 blank"></span>nhos chilenos </div><div class="t m1 x0 h4 y91 ff3 fs1 fc0 sc0 ls9 wsb">c) Q<span class="_4 blank"> </span>ual a <span class="_4 blank"> </span>probabilidade que <span class="_4 blank"> </span>somente dois <span class="_4 blank"> </span>tipos de <span class="_4 blank"> </span>vinhos sejam <span class="_4 blank"> </span>escolhidos na <span class="_4 blank"> </span>mesma </div><div class="t m1 x0 h4 y92 ff3 fs1 fc0 sc0 ls9 wsb">proporção </div><div class="t m1 x0 h4 y93 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h5 y11b ff4 fs1 fc0 sc0 ls9 wse">\ue01b\ue012 \ue003 4\ue006$78<span class="ff3 wsb"> </span></div><div class="t m1 x0 h5 y11c ff4 fs1 fc0 sc0 ls9 ws1">\ue01d\ue012\ue00c4<span class="ff3 wsb"> </span></div><div class="t m1 x0 h5 y11d ff4 fs1 fc0 sc0 ls9 wse">1\ue012 \ue003 \ue008\ue006\ue007@8<span class="ff3 wsb"> </span></div><div class="t m1 x0 h4 y11e ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y11f ff3 fs1 fc0 sc0 ls9 wsb">28) <span class="_7 blank"> </span>Uma <span class="_7 blank"> </span>empresa <span class="_7 blank"> </span>de <span class="_7 blank"> </span>ônibus <span class="_7 blank"> </span>para <span class="_7 blank"> </span>excursões <span class="_7 blank"> </span>aceita <span class="_7 blank"> </span>reservas <span class="_20 blank"> </span>para <span class="_7 blank"> </span>suas <span class="_7 blank"> </span>viagens. <span class="_7 blank"> </span>A </div><div class="t m1 x0 h4 y120 ff3 fs1 fc0 sc0 ls9 wsb">empresa <span class="_3 blank"></span>sabe <span class="_2d blank"></span>que <span class="_3 blank"></span>90%<span class="_2 blank"></span> <span class="_3 blank"></span>comparecem <span class="_2d blank"></span>e <span class="_3 blank"></span>sendo <span class="_2d blank"></span>assim <span class="_2d blank"></span>adot<span class="_4 blank"> </span>a <span class="_2d blank"></span>uma <span class="_3 blank"></span>polí<span class="_3 blank"></span>t<span class="_4 blank"> </span>ica <span class="_3 blank"></span>de <span class="_2d blank"></span>comprometer </div><div class="t m1 x0 h4 y121 ff3 fs1 fc0 sc0 ls9 wsb">42 lugares, para um <span class="_2 blank"></span>grupo de 40 pessoas<span class="_2 blank"></span>. Qual é a probabil<span class="_2 blank"></span>idade de que:<span class="_2 blank"></span> </div><div class="t m1 x0 h4 y122 ff3 fs1 fc0 sc0 ls9 wsb">a) o grupo via<span class="_2 blank"></span>je com pelo menos 90% das<span class="_3 blank"></span> <span class="_4 blank"> </span>pessoas </div><div class="t m1 x0 h4 y123 ff3 fs1 fc0 sc0 ls9 wsb">b) alguma pessoa co<span class="_2 blank"></span>m reserva <span class="_2 blank"></span>fique fora do grupo </div><div class="t m1 x0 h4 y124 ff3 fs1 fc0 sc0 ls9 wsb">c) o grupo viaje co<span class="_2 blank"></span>m 38 pessoas<span class="_2 blank"></span> </div><div class="t m1 x0 h4 y125 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h5 y126 ff4 fs1 fc0 sc0 ls9 wse">\ue01b\ue012 6 \ue007\ue007\ue006\ue01c\ue0088<span class="ff3 wsb"> </span></div><div class="t m1 x0 h5 y127 ff4 fs1 fc0 sc0 ls9 wsd">\ue01d\ue012 6 $\ue0067\ue01c8<span class="ff3 wsb"> </span></div><div class="t m1 x0 h5 y128 ff4 fs1 fc0 sc0 ls9 wse">1\ue012 6 \ue008\ue005\ue006\ue00a\ue0088<span class="ff3 wsb"> </span></div><div class="t m1 x0 h4 y66 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y67 ff3 fs1 fc0 sc0 ls9 wsb">29) <span class="_3 blank"></span>A <span class="_2 blank"></span>probabil<span class="_2 blank"></span>idade <span class="_3 blank"></span>de <span class="_3 blank"></span>que <span class="_3 blank"></span>um <span class="_3 blank"></span>sinal <span class="_3 blank"></span>de <span class="_3 blank"></span>t<span class="_4 blank"> </span>rânsito <span class="_3 blank"></span>esteja <span class="_3 blank"></span>aberto <span class="_3 blank"></span>numa <span class="_2d blank"></span>esquina <span class="_2 blank"></span>é <span class="_3 blank"></span>0,20. <span class="_3 blank"></span>Qual </div><div class="t m1 x0 h4 y68 ff3 fs1 fc0 sc0 ls9 wsb">a <span class="_15 blank"> </span>probabilidade <span class="_15 blank"> </span>de <span class="_20 blank"> </span>que <span class="_15 blank"> </span>seja <span class="_20 blank"> </span>necessário<span class="_2 blank"></span> <span class="_15 blank"> </span>passar <span class="_15 blank"> </span>pelo <span class="_20 blank"> </span>local <span class="_15 blank"> </span>10 <span class="_15 blank"> </span>vezes <span class="_15 blank"> </span>par<span class="_4 blank"> </span>a <span class="_20 blank"> </span>encontrá<span class="_2 blank"></span>-lo </div><div class="t m1 x0 h4 y69 ff3 fs1 fc0 sc0 ls9 wsb">aberto pela 4ª vez<span class="_2 blank"></span>. </div><div class="t m1 x0 h4 y6a ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h5 y129 ff4 fs1 fc0 sc0 ls9 wsd">6 \ue009\ue0064\ue0088<span class="ff3 wsb"> </span></div><div class="t m1 x0 h4 y12a ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y12b ff3 fs1 fc0 sc0 ls9 wsb">30) <span class="_15 blank"> </span>O<span class="_4 blank"> </span>s <span class="_20 blank"> </span>cria<span class="_2 blank"></span>dores <span class="_15 blank"> </span>de <span class="_20 blank"> </span>codornas <span class="_20 blank"> </span>pre<span class="_3 blank"></span>f<span class="_4 blank"> </span>erem <span class="_15 blank"> </span>cr<span class="_4 blank"> </span>iar <span class="_15 blank"> </span>mais <span class="_15 blank"> </span>f<span class="_4 blank"> </span>êmeas <span class="_15 blank"> </span>do <span class="_20 blank"> </span>que <span class="_15 blank"> </span>machos <span class="_20 blank"> </span>devi<span class="_2 blank"></span>do <span class="_20 blank"> </span>a </div><div class="t m1 x0 h4 y12c ff3 fs1 fc0 sc0 ls9 wsb">produção <span class="_4 blank"> </span>de <span class="_4 blank"> </span>ovos. <span class="_4 blank"> </span>Um <span class="_4 blank"> </span>distribuid<span class="_2 blank"></span>or <span class="_4 blank"> </span>de <span class="_4 blank"> </span>codornas <span class="_4 blank"> </span>distribui caixas <span class="_4 blank"> </span>com <span class="_18 blank"> </span>10 codornas <span class="_4 blank"> </span>cada </div><div class="t m1 x0 h4 y12d ff3 fs1 fc0 sc0 ls9 wsb">uma. <span class="_3 blank"></span>As <span class="_3 blank"></span>caixas <span class="_2d blank"></span>que <span class="_3 blank"></span>contém <span class="_2d blank"></span>mais <span class="_3 blank"></span>de <span class="_3 blank"></span>duas <span class="_3 blank"></span>codorn<span class="_2 blank"></span>as <span class="_3 blank"></span>machos <span class="_3 blank"></span>serão <span class="_2d blank"></span>ressarcidas <span class="_2d blank"></span>em <span class="_3 blank"></span>dobro </div><div class="t m1 x0 h4 y12e ff3 fs1 fc0 sc0 ls9 wsb">do preço da caixa. A pro<span class="_2 blank"></span>babilidad<span class="_2 blank"></span>e de uma codorna ser fêmea estar<span class="_2 blank"></span> na caixa é de 90% </div><div class="t m1 x0 h4 y12f ff3 fs1 fc0 sc0 ls9 wsb">segundo o distribuidor.<span class="_2 blank"></span> E o preço de v<span class="_2 blank"></span>enda de cada caixa é de 80<span class="_2 blank"></span> u.m. </div><div class="t m1 x0 h4 y130 ff3 fs1 fc0 sc0 ls9 wsb">a) Qual a probabili<span class="_2 blank"></span>dade da caixa não ser ressarci<span class="_3 blank"></span>da? </div><div class="t m1 x0 h4 y131 ff3 fs1 fc0 sc0 ls9 wsb">b) S<span class="_2 blank"></span>e <span class="_17 blank"> </span>o <span class="_17 blank"> </span>distribuidor <span class="_17 blank"> </span>vende <span class="_17 blank"> </span>1000<span class="_2 blank"></span> ca<span class="_2 blank"></span>ixas, <span class="_17 blank"> </span>qual <span class="_17 blank"> </span>o <span class="_17 blank"> </span>valor <span class="_17 blank"> </span>que <span class="_17 blank"> </span>ele <span class="_17 blank"> </span>deverá<span class="_2 blank"></span> <span class="_17 blank"> </span>pagar <span class="_17 blank"> </span>como </div><div class="t m1 x0 h4 y132 ff3 fs1 fc0 sc0 ls9 wsb">ressarcimento? </div><div class="t m1 x0 h4 y133 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h5 y134 ff4 fs1 fc0 sc0 ls9 wse">\ue01b\ue012 6 @\ue008\ue006@\ue01c8<span class="ff3 wsb"> </span></div><div class="t m1 x0 h5 y135 ff4 fs1 fc0 sc0 ls9 wsa">\ue01d\ue012\ue00c\ue007\ue007\ue008\ue009\ue008\ue00c'A OA<span class="ff3 wsb"> </span></div><div class="t m1 x0 h4 y108 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y136 ff3 fs1 fc0 sc0 ls9 wsb">31) Um<span class="_2 blank"></span> deter<span class="_2 blank"></span>minado gol<span class="_2 blank"></span>pe aplicado<span class="_2 blank"></span> por<span class="_2 blank"></span> um <span class="_2 blank"></span>estelionatário <span class="_2 blank"></span>seja be<span class="_2 blank"></span>m sucedi<span class="_3 blank"></span>do é de <span class="_2 blank"></span>70%<span class="_2 blank"></span>. </div><div class="t m1 x0 h4 y137 ff3 fs1 fc0 sc0 ls9 wsb">Calcule: </div><div class="t m1 x0 h4 y138 ff3 fs1 fc0 sc0 ls9 wsb">a) A probabilidade<span class="_2 blank"></span> de ter o terceiro esteli<span class="_2 blank"></span>onato bem sucedido em<span class="_2 blank"></span> 6 golpes </div><div class="t m1 x0 h4 y139 ff3 fs1 fc0 sc0 ls9 wsb">b) Se <span class="_2 blank"></span>o <span class="_2 blank"></span>golpe <span class="_2 blank"></span>for repetid<span class="_2 blank"></span>o até <span class="_3 blank"></span>q<span class="_4 blank"> </span>ue 14<span class="_3 blank"></span>º golpe tenh<span class="_3 blank"></span>a sucesso, qual<span class="_3 blank"></span> o número <span class="_2 blank"></span>esperado<span class="_2 blank"></span> de </div><div class="t m1 x0 h4 y13a ff3 fs1 fc0 sc0 ls9 wsb">vítimas do estelionatá<span class="_2 blank"></span>rio? </div><div class="t m1 x0 h14 y13b ff2 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h5 y13c ff4 fs1 fc0 sc0 ls9 wsc">B\ue012 \ue00c 6<span class="_1f blank"> </span>@\ue006\ue008$8<span class="ff3 wsb"> </span></div><div class="t m1 x0 h5 y13d ff4 fs1 fc0 sc0 ls9 ws1">\ue01d\ue012\ue00c\ue008\ue005\ue00c,P?3O\ue01b%<span class="ff3 wsb"> </span></div><div class="t m1 x0 h4 y13e ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y13f ff3 fs1 fc0 sc0 ls9 wsb">32) <span class="_6 blank"> </span>(Analista <span class="_6 blank"> </span>e <span class="_7 blank"> </span>T<span class="_4 blank"> </span>écnico <span class="_7 blank"> </span>Judiciário <span class="_6 blank"> </span>\u2013 <span class="_6 blank"> </span>TRT <span class="_6 blank"> </span>1ª <span class="_6 blank"> </span>Região <span class="_6 blank"> </span>\u2013 <span class="_6 blank"> </span>RJ <span class="_6 blank"> </span>\u2013 <span class="_6 blank"> </span>2011) <span class="_6 blank"> </span>Considere <span class="_6 blank"> </span>duas </div><div class="t m1 x0 h4 y140 ff3 fs1 fc0 sc0 ls9 wsb">variáveis aleatórias <span class="_4 blank"> </span>discretas X <span class="_4 blank"> </span>e <span class="_4 blank"> </span>Y, ambas <span class="_4 blank"> </span>com distribuição <span class="_4 blank"> </span>binomial. Sabe-se q<span class="_4 blank"> </span>ue: X: </div><div class="t m1 x0 h8 y141 ff3 fs1 fc0 sc0 ls9 wsb">Bin (2, p) e Y: Bin <span class="_2 blank"></span>(4, p). Se <span class="ff4 ws1">\ue00e<span class="v1">\ue00f</span><span class="ws12">\ue010 Q \ue007<span class="ls2 v1">\ue012</span>\ue003</span></span></div><div class="t m2 x3 h6 y142 ff4 fs2 fc0 sc0 ls9">;</div><div class="t m2 x3 h6 y143 ff4 fs2 fc0 sc0 ls9"><</div><div class="t m1 x2b h8 y141 ff3 fs1 fc0 sc0 ls9 wsb"> então <span class="ff4 ls10">\ue00e<span class="ls9 ws1 v1">\ue00f</span><span class="ls9 ws13">* \ue003 \ue007<span class="ws1 v1">\ue012</span></span></span> é: </div><div class="t m0 x2c h2 y144 ff3 fs0 fc0 sc0 ls9 wsb">a) </div><div class="c x2d y145 w7 h17"><div class="t m0 xf h18 y146 ff4 fs0 fc0 sc0 ls9 ws14">$4</div></div><div class="c x2e y145 w7 h17"><div class="t m0 xf h18 y146 ff4 fs0 fc0 sc0 ls9 ws14">\ue01c\ue007</div></div><div class="c x10 y145 w8 h17"><div class="t m0 xf h18 y147 ff4 fs0 fc0 sc0 ls9">R</div></div><div class="c xc y145 w9 h19"><div class="t m0 xf h2 y146 ff3 fs0 fc0 sc0 ls9 wsb"> </div></div><div class="t m0 x2c h2 y148 ff3 fs0 fc0 sc0 ls9 wsb">b) </div><div class="c x2d y149 w7 h17"><div class="t m0 xf h18 y14a ff4 fs0 fc0 sc0 ls9 ws14">\ue007$</div></div><div class="c x2e y149 w7 h17"><div class="t m0 xf h18 y14a ff4 fs0 fc0 sc0 ls9 ws14">\ue01c\ue007</div></div><div class="c x10 y149 w8 h17"><div class="t m0 xf h18 y14b ff4 fs0 fc0 sc0 ls9">R</div></div><div class="c xc y149 w9 h19"><div class="t m0 xf h2 y14a ff3 fs0 fc0 sc0 ls9 wsb"> </div></div><div class="t m0 x2c h2 y14c ff3 fs0 fc0 sc0 ls9 wsb">c) </div><div class="c x2d y14d w7 h17"><div class="t m0 xf h18 y14e ff4 fs0 fc0 sc0 ls9 ws14">\ue009\ue008</div></div><div class="c x2e y14d w7 h17"><div class="t m0 xf h18 y14e ff4 fs0 fc0 sc0 ls9 ws14">\ue01c\ue007</div></div><div class="c x10 y14d w8 h17"><div class="t m0 xf h18 y14f ff4 fs0 fc0 sc0 ls9">R</div></div><div class="c xc y14d w9 h19"><div class="t m0 xf h2 y14e ff3 fs0 fc0 sc0 ls9 wsb"> </div></div><div class="t m0 x2c h2 y150 ff3 fs0 fc0 sc0 ls9 wsb">d) </div><div class="c x2d y151 w7 h1a"><div class="t m0 xf h18 y152 ff4 fs0 fc0 sc0 ls9 ws14">\ue007$</div></div><div class="c x2e y151 w7 h1a"><div class="t m0 xf h18 y152 ff4 fs0 fc0 sc0 ls9 ws14">\ue0087</div></div><div class="c x10 y151 w8 h1a"><div class="t m0 xf h18 y153 ff4 fs0 fc0 sc0 ls9">R</div></div><div class="c xc y154 w9 h19"><div class="t m0 xf h2 y155 ff3 fs0 fc0 sc0 ls9 wsb"> </div></div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf7" class="pf w0 h0" data-page-no="7"><div class="pc pc7 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x2f y156 wa h1b" alt="" src="https://files.passeidireto.com/7203375d-9041-4a32-ba07-d68c0a94444f/bg7.png"><div class="t m0 x0 h2 y1 ff1 fs0 fc0 sc0 ls9 wsb">José Gracioli <span class="_0 blank"> </span> <span class="_1 blank"> </span>Estatística I </div><div class="t m0 x2c h2 y2 ff3 fs0 fc0 sc0 ls9 wsb">e) </div><div class="c x2d y157 w7 h1a"><div class="t m0 xf h18 y158 ff4 fs0 fc0 sc0 ls9 ws14">\ue00a\ue005</div></div><div class="c x2e y157 w7 h1a"><div class="t m0 xf h18 y158 ff4 fs0 fc0 sc0 ls9 ws14">\ue01c\ue007</div></div><div class="c x10 y157 w8 h1a"><div class="t m0 xf h18 y159 ff4 fs0 fc0 sc0 ls9">R</div></div><div class="c xc y15a w9 h19"><div class="t m0 xf h2 y15b ff3 fs0 fc0 sc0 ls9 wsb"> </div></div><div class="t m1 x0 h4 y15c ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h5 y15d ff4 fs1 fc0 sc0 ls9 ws1">S\ue00d?)\ue01b\ue00c+<span class="ff3 wsb"> </span></div><div class="t m1 x0 h4 y15e ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y15f ff3 fs1 fc0 sc0 ls9 wsb">33) <span class="_6 blank"> </span>A <span class="_7 blank"> </span>probabilidade <span class="_7 blank"> </span>de <span class="_7 blank"> </span>uma <span class="_6 blank"> </span>pessoa <span class="_7 blank"> </span>doar <span class="_6 blank"> </span>sangue <span class="_7 blank"> </span>é <span class="_7 blank"> </span>de <span class="_6 blank"> </span>0,43. <span class="_7 blank"> </span>Um <span class="_7 blank"> </span>agente <span class="_6 blank"> </span>de <span class="_7 blank"> </span>saúde </div><div class="t m1 x0 h4 y160 ff3 fs1 fc0 sc0 ls9 wsb">escolheu <span class="_16 blank"> </span>uma <span class="_15 blank"> </span>fila <span class="_15 blank"> </span>de <span class="_16 blank"> </span>pessoas <span class="_15 blank"> </span>para <span class="_15 blank"> </span>assistir <span class="_16 blank"> </span>um <span class="_16 blank"> </span>filme. <span class="_15 blank"> </span>Qual <span class="_16 blank"> </span>a <span class="_15 blank"> </span>probabilidade <span class="_16 blank"> </span>da <span class="_15 blank"> </span>quarta </div><div class="t m1 x0 h4 y161 ff3 fs1 fc0 sc0 ls9 wsb">pessoa por ele question<span class="_3 blank"></span>ada ser uma doadora? </div><div class="t m1 x0 h4 y162 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h5 y163 ff4 fs1 fc0 sc0 ls9 wsd">6 7\ue006@$8<span class="ff3 wsb"> </span></div><div class="t m1 x0 h4 y164 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y165 ff3 fs1 fc0 sc0 ls9 wsb">34) <span class="_4 blank"> </span>Uma urna <span class="_4 blank"> </span>contem 20 <span class="_4 blank"> </span>bolas vermelhas e <span class="_4 blank"> </span>57 <span class="_4 blank"> </span>amarelas. Qual a <span class="_4 blank"> </span>probabilidade de q<span class="_4 blank"> </span>ue<span class="_2 blank"></span> </div><div class="t m1 x0 h4 y166 ff3 fs1 fc0 sc0 ls9 wsb">a 8ª bola retirada seja a<span class="_2 blank"></span> 1ª bola vermelha?<span class="_3 blank"></span> </div><div class="t m1 x0 h4 y167 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h5 yd0 ff4 fs1 fc0 sc0 ls9 wsd">6 \ue009\ue006\ue007$8<span class="ff3 wsb"> </span></div><div class="t m1 x0 h4 y168 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y169 ff3 fs1 fc0 sc0 ls9 wsb">35) <span class="_4 blank"> </span>Um <span class="_4 blank"> </span>determina<span class="_2 blank"></span>do <span class="_4 blank"> </span>banco, <span class="_4 blank"> </span>localiz<span class="_3 blank"></span>ado <span class="_18 blank"> </span>em <span class="_4 blank"> </span>uma <span class="_4 blank"> </span>determinad<span class="_2 blank"></span>a <span class="_4 blank"> </span>região, tem <span class="_4 blank"> </span>um <span class="_4 blank"> </span>programa<span class="_3 blank"></span> </div><div class="t m1 x0 h4 y16a ff3 fs1 fc0 sc0 ls9 wsb">de <span class="_2d blank"></span>crédito <span class="_3 blank"></span>para <span class="_2d blank"></span>a <span class="_2d blank"></span>compra <span class="_2d blank"></span>da <span class="_3 blank"></span>casa <span class="_3 blank"></span>própria<span class="_2 blank"></span>. <span class="_3 blank"></span>M<span class="_2 blank"></span>as <span class="_2d blank"></span>para <span class="_3 blank"></span>continuar <span class="_2d blank"></span>com <span class="_2d blank"></span>o <span class="_3 blank"></span>programa <span class="_2d blank"></span>de <span class="_2d blank"></span>crédito </div><div class="t m1 x0 h4 y16b ff3 fs1 fc0 sc0 ls9 wsb">no próx<span class="_2 blank"></span>imo an<span class="_2 blank"></span>o <span class="_2 blank"></span>o <span class="_3 blank"></span>g<span class="_4 blank"> </span>erente <span class="_3 blank"></span>do banco <span class="_3 blank"></span>faz uma<span class="_2 blank"></span> anál<span class="_2 blank"></span>ise d<span class="_2 blank"></span>os <span class="_2 blank"></span>antigos <span class="_3 blank"></span>beneficiários. Sabe<span class="_2 blank"></span> p<span class="_2 blank"></span>or </div><div class="t m1 x0 h4 y16c ff3 fs1 fc0 sc0 ls9 wsb">histórico <span class="_18 blank"> </span>que <span class="_18 blank"> </span>26% <span class="_16 blank"> </span>dos <span class="_18 blank"> </span>bene<span class="_2 blank"></span>ficiários <span class="_18 blank"> </span>não <span class="_16 blank"> </span>mantêm <span class="_18 blank"> </span>suas <span class="_18 blank"> </span>prestações <span class="_18 blank"> </span>em <span class="_16 blank"> </span>dia<span class="_3 blank"></span>.<span class="_4 blank"> </span> <span class="_18 blank"> </span>No <span class="_18 blank"> </span>f<span class="_4 blank"> </span>inal <span class="_18 blank"> </span>do </div><div class="t m1 x0 h4 y16d ff3 fs1 fc0 sc0 ls9 wsb">ano <span class="_20 blank"> </span>o <span class="_15 blank"> </span>g<span class="_4 blank"> </span>erente <span class="_15 blank"> </span>convoca <span class="_20 blank"> </span>alguns <span class="_15 blank"> </span>beneficiários, <span class="_20 blank"> </span>ale<span class="_2 blank"></span>atoriamente, <span class="_15 blank"> </span>do <span class="_20 blank"> </span>programa <span class="_15 blank"> </span>para <span class="_20 blank"> </span>uma </div><div class="t m1 x0 h4 y16e ff3 fs1 fc0 sc0 ls9 wsb">análise <span class="_16 blank"> </span>dos <span class="_15 blank"> </span>seus <span class="_16 blank"> </span>pagamentos. <span class="_15 blank"> </span>O <span class="_16 blank"> </span>g<span class="_4 blank"> </span>erente <span class="_16 blank"> </span>adota <span class="_16 blank"> </span>a <span class="_15 blank"> </span>seguinte <span class="_16 blank"> </span>estratégia: <span class="_15 blank"> </span>Caso <span class="_16 blank"> </span>o <span class="_16 blank"> </span>q<span class="_4 blank"> </span>uinto<span class="_2 blank"></span> </div><div class="t m1 x0 h4 y16f ff3 fs1 fc0 sc0 ls9 wsb">mau <span class="_4 blank"> </span>pagador <span class="_4 blank"> </span>apareça <span class="_4 blank"> </span>na <span class="_4 blank"> </span>15ª <span class="_4 blank"> </span>pessoa <span class="_4 blank"> </span>chamada <span class="_4 blank"> </span>o <span class="_4 blank"> </span>programa <span class="_4 blank"> </span>de <span class="_4 blank"> </span>crédito <span class="_4 blank"> </span>não <span class="_4 blank"> </span>será <span class="_4 blank"> </span>aberto </div><div class="t m1 x0 h4 y170 ff3 fs1 fc0 sc0 ls9 wsb">para <span class="_21 blank"> </span>novos <span class="_2c blank"> </span>beneficiários. <span class="_2c blank"> </span>Qual <span class="_21 blank"> </span>a <span class="_21 blank"> </span>probabilidade <span class="_2c blank"> </span>do <span class="_21 blank"> </span>programa <span class="_2c blank"> </span>de <span class="_21 blank"> </span>crédito <span class="_2c blank"> </span>não <span class="_21 blank"> </span>ser </div><div class="t m1 x0 h4 y171 ff3 fs1 fc0 sc0 ls9 wsb">implantado no próxi<span class="_2 blank"></span>mo ano? </div><div class="t m1 x0 h4 y172 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h5 y173 ff4 fs1 fc0 sc0 ls9 ws1">4\ue006\ue01c$8<span class="ff3 wsb"> </span></div><div class="t m1 x0 h4 y174 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y175 ff3 fs1 fc0 sc0 ls9 wsb">36) <span class="_2d blank"></span>(<span class="_4 blank"> </span>Finep <span class="_2d blank"></span>\u2013 <span class="_3 blank"></span>Analista <span class="_2d blank"></span>área <span class="_3 blank"></span>2 <span class="_3 blank"></span>\u2013 <span class="_2d blank"></span>01/2014) <span class="_3 blank"></span>A <span class="_3 blank"></span>segui<span class="_2 blank"></span>r <span class="_3 blank"></span>são <span class="_2d blank"></span>apresentadas <span class="_2d blank"></span>estatísticas <span class="_3 blank"></span>das <span class="_2d blank"></span>notas </div><div class="t m1 x0 h4 y176 ff3 fs1 fc0 sc0 ls9 wsb">brutas obtidas pelos can<span class="_2 blank"></span>didatos em um concurso<span class="_3 blank"></span> <span class="_4 blank"> </span>público:<span class="_2 blank"></span> </div><div class="t m1 x0 h4 yd6 ff3 fs1 fc0 sc0 ls9 wsb">Média aritmética = 78<span class="_2 blank"></span> </div><div class="t m1 x0 h4 y73 ff3 fs1 fc0 sc0 ls9 wsb">Variância= 100 </div><div class="t m1 x0 h4 y177 ff3 fs1 fc0 sc0 ls9 wsb">A <span class="_2e blank"> </span>nota <span class="_2e blank"> </span>de <span class="_2e blank"> </span>cada <span class="_2e blank"> </span>can<span class="_3 blank"></span>didato <span class="_2e blank"> </span>f<span class="_4 blank"> </span>oi <span class="_2e blank"> </span>transfor<span class="_2 blank"></span>mada <span class="_2e blank"> </span>em <span class="_2e blank"> </span>nota <span class="_2e blank"> </span>padroni<span class="_2 blank"></span>zada, <span class="_2e blank"> </span>calculada<span class="_3 blank"></span> </div><div class="t m1 x0 h4 y178 ff3 fs1 fc0 sc0 ls9 wsb">considerando a se<span class="_2 blank"></span>guinte fórmula: </div><div class="t m1 x0 h5 y179 ff4 fs1 fc0 sc0 ls9 ws15">THUB\ue00cDBIEHVWXBIB<span class="_1f blank"> </span>\ue003<span class="_5 blank"> </span>4\ue005 = 4 Y</div><div class="t m2 x30 h6 y77 ff4 fs2 fc0 sc0 ls9 ws5">Z<span class="v2">[\]^\ue00c_`a]^\ue00cb\<span class="_4 blank"> </span>\ue00cc^dbeb^]\\ue00cf\ue00cghbe^\ue00c^`e]ih]ej^\ue00cb^k\ue00cd\]^k\ue00c_`a]^k</span>l</div><div class="t m2 x31 h6 y17a ff4 fs2 fc0 sc0 ls9 ws5">mnkoe\\ue00cp^b`.\\ue00cb^k\ue00cd<span class="_4 blank"> </span>\]^k\ue00c_`a]^k</div><div class="t m1 x32 h4 y179 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y17b ff3 fs1 fc0 sc0 ls9 wsb">A média das notas pad<span class="_2 blank"></span>roniz<span class="_2 blank"></span>adas é: </div><div class="t m1 x0 h4 y17c ff3 fs1 fc0 sc0 ls9 wsb">a) 0 <span class="_2f blank"> </span> <span class="_9 blank"> </span>b) 28 <span class="_30 blank"> </span> <span class="_9 blank"> </span>c) 50 <span class="_31 blank"> </span> <span class="_9 blank"> </span>d) 55 <span class="_30 blank"> </span> <span class="_9 blank"> </span>e) 78 </div><div class="t m1 x0 h4 y17d ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h5 y17e ff4 fs1 fc0 sc0 ls9 ws16">qFUEB\ue00cJ <span class="ff3 wsb"> </span></div><div class="t m1 x0 h4 y17f ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y180 ff3 fs1 fc0 sc0 ls9 wsb">A variância das notas pa<span class="_3 blank"></span>dr<span class="_4 blank"> </span>oniz<span class="_2 blank"></span>adas é: </div><div class="t m1 x0 h4 y181 ff3 fs1 fc0 sc0 ls9 wsb">a) 25 <span class="_30 blank"> </span> <span class="_9 blank"> </span>b) 50,5 <span class="_32 blank"></span> <span class="_9 blank"> </span>c) 52,5 <span class="_33 blank"></span> <span class="_9 blank"> </span>d) 55 <span class="_30 blank"> </span> <span class="_9 blank"> </span>e) 75 </div><div class="t m1 x0 h4 y182 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h5 y183 ff4 fs1 fc0 sc0 ls9 ws1">qFUEB\ue00cr<span class="ff3 wsb"> </span></div><div class="t m1 x0 h4 y47 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y184 ff3 fs1 fc0 sc0 ls9 wsb">37) Motores de avião funcionam independentemente e cada<span class="_2 blank"></span> motor tem <span class="_4 blank"> </span>pr<span class="_2 blank"></span>obabilidade p </div><div class="t m1 x0 h4 y185 ff3 fs1 fc0 sc0 ls9 wsb">de f<span class="_4 blank"> </span>alhar durante <span class="_4 blank"> </span>um voo. <span class="_4 blank"> </span>Um <span class="_4 blank"> </span>avi<span class="_2 blank"></span>ão <span class="_4 blank"> </span>voa com <span class="_4 blank"> </span>segurança <span class="_4 blank"> </span>se a <span class="_4 blank"> </span>maioria de <span class="_4 blank"> </span>seus <span class="_4 blank"> </span>motores<span class="_2 blank"></span> </div><div class="t m1 x0 h4 y186 ff3 fs1 fc0 sc0 ls9 wsb">funciona. <span class="_16 blank"> </span>Para<span class="_2 blank"></span> <span class="_16 blank"> </span>que <span class="_18 blank"> </span>valores <span class="_16 blank"> </span>de <span class="_16 blank"> </span>p <span class="_18 blank"> </span>um <span class="_16 blank"> </span>avião <span class="_18 blank"> </span>de <span class="_16 blank"> </span>3 <span class="_16 blank"> </span>motores<span class="_2 blank"></span> <span class="_16 blank"> </span>é <span class="_16 blank"> </span>preferí<span class="_3 blank"></span>vel <span class="_16 blank"> </span>a <span class="_16 blank"> </span>um <span class="_16 blank"> </span>avião<span class="_2 blank"></span> <span class="_16 blank"> </span>de <span class="_18 blank"> </span>5 </div><div class="t m1 x0 h4 y187 ff3 fs1 fc0 sc0 ls9 wsb">motores? </div><div class="t m1 x0 h4 y188 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y189 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m2 x2f h6 y18a ff4 fs2 fc0 sc0 ls9">\ue014</div><div class="t m2 x2f h6 y18b ff4 fs2 fc0 sc0 ls9">\ue015</div><div class="t m1 xd h5 y189 ff4 fs1 fc0 sc0 ls9 ws17">s t u \ue007<span class="ff3 wsb"> </span></div><div class="t m1 x0 h4 yec ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 yed ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y18c ff3 fs1 fc0 sc0 ls9 wsb">38) <span class="_15 blank"> </span>Sejam <span class="_16 blank"> </span>X: <span class="_16 blank"> </span>renda <span class="_15 blank"> </span>familiar <span class="_16 blank"> </span>em <span class="_15 blank"> </span>R$ <span class="_15 blank"> </span>1.000,00 <span class="_16 blank"> </span>e <span class="_16 blank"> </span>Y: <span class="_15 blank"> </span>N.º <span class="_15 blank"> </span>de <span class="_16 blank"> </span>aparelhos <span class="_16 blank"> </span>de <span class="_16 blank"> </span>T<span class="_4 blank"> </span>V <span class="_16 blank"> </span>em <span class="_15 blank"> </span>cores. </div><div class="t m1 x0 h4 y18d ff3 fs1 fc0 sc0 ls9 wsb">Considere o quadro: </div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf8" class="pf w0 h0" data-page-no="8"><div class="pc pc8 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x33 y18e wb h1c" alt="" src="https://files.passeidireto.com/7203375d-9041-4a32-ba07-d68c0a94444f/bg8.png"><div class="t m0 x0 h2 y1 ff1 fs0 fc0 sc0 ls9 wsb">José Gracioli <span class="_0 blank"> </span> <span class="_1 blank"> </span>Estatística I </div><div class="t m1 x2e h4 y18f ff3 fs1 fc0 sc0 ls9 wsb">X <span class="_34 blank"> </span>1 <span class="_35 blank"> </span>2 <span class="_35 blank"> </span>3 <span class="_35 blank"> </span>1 <span class="_35 blank"> </span>3 <span class="_35 blank"> </span>2 <span class="_35 blank"> </span>3 <span class="_35 blank"> </span>1 <span class="_35 blank"> </span>2 <span class="_35 blank"> </span>3 </div><div class="t m1 x2e h4 y190 ff3 fs1 fc0 sc0 ls9 wsb">Y <span class="_34 blank"> </span>2 <span class="_35 blank"> </span>1 <span class="_35 blank"> </span>3 <span class="_35 blank"> </span>1 <span class="_35 blank"> </span>3 <span class="_35 blank"> </span>3 <span class="_35 blank"> </span>2 <span class="_35 blank"> </span>1 <span class="_35 blank"> </span>2 <span class="_35 blank"> </span>3 </div><div class="t m1 x0 h4 y191 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y192 ff3 fs1 fc0 sc0 ls9 wsb">a) Verificar se há depen<span class="_3 blank"></span>dência entre as duas variáv<span class="_3 blank"></span>e<span class="_4 blank"> </span>is; </div><div class="t m1 x0 h4 y193 ff3 fs1 fc0 sc0 ls9 wsb">b) <span class="_17 blank"> </span>Determinar <span class="_17 blank"> </span>a <span class="_17 blank"> </span>renda <span class="_6 blank"> </span>familiar médi<span class="_2 blank"></span>a <span class="_17 blank"> </span>de <span class="_17 blank"> </span>quem <span class="_6 blank"> </span>possui <span class="_17 blank"> </span>3 <span class="_17 blank"> </span>aparelhos <span class="_17 blank"> </span>de <span class="_17 blank"> </span>TV. <span class="_17 blank"> </span>Use <span class="_6 blank"> </span>a </div><div class="t m1 x0 h4 y194 ff3 fs1 fc0 sc0 ls9 wsb">distribuição de probabil<span class="_2 blank"></span>idades E(X/Y = 3)<span class="_2 blank"></span>. </div><div class="t m1 x0 h4 y195 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y196 ff3 fs1 fc0 sc0 ls9 wsb">a) há uma dependência l<span class="_3 blank"></span>inear entre X e Y </div><div class="t m1 x0 h5 y197 ff4 fs1 fc0 sc0 ls9 ws1">C\ue012\ue00cM<span class="_4 blank"></span>N\ue00c\ue008A74\ue005\ue006\ue005\ue005<span class="_2 blank"></span><span class="ff3 wsb"> </span></div><div class="t m1 x0 h4 y198 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y199 ff3 fs1 fc0 sc0 ls9 wsb">39) <span class="_21 blank"> </span>No <span class="_21 blank"> </span>lançamento <span class="_21 blank"> </span>simultâneo <span class="_21 blank"> </span>de <span class="_36 blank"> </span>dois <span class="_21 blank"> </span>dados, <span class="_2c blank"> </span>considere <span class="_21 blank"> </span>as <span class="_36 blank"> </span>seguintes <span class="_21 blank"> </span>variáveis<span class="_3 blank"></span> </div><div class="t m1 x0 h4 y19a ff3 fs1 fc0 sc0 ls9 wsb">aleatórias: <span class="_4 blank"> </span>X <span class="_4 blank"> </span>é <span class="_4 blank"> </span>o <span class="_18 blank"> </span>número q<span class="_4 blank"> </span>ue <span class="_4 blank"> </span>aparece <span class="_4 blank"> </span>no <span class="_4 blank"> </span>primeiro <span class="_4 blank"> </span>dado <span class="_4 blank"> </span>e <span class="_4 blank"> </span>Y <span class="_18 blank"> </span>o <span class="_4 blank"> </span>número <span class="_4 blank"> </span>que <span class="_4 blank"> </span>aparece <span class="_4 blank"> </span>no </div><div class="t m1 x0 h4 y19b ff3 fs1 fc0 sc0 ls9 wsb">segundo dado. </div><div class="t m1 x0 h4 y19c ff3 fs1 fc0 sc0 ls9 wsb">a) Construir a distribui<span class="_2 blank"></span>ção de probabilida<span class="_2 blank"></span>de de: </div><div class="t m1 x0 h4 y19d ff3 fs1 fc0 sc0 ls9 wsb"> <span class="_9 blank"> </span>Z = X \u2013 Y </div><div class="t m1 x0 h4 y19e ff3 fs1 fc0 sc0 ls9 wsb"> <span class="_9 blank"> </span>W<span class="_4 blank"> </span> = <span class="_2 blank"></span>o máximo den<span class="_2 blank"></span>tre (X,Y) </div><div class="t m1 x0 h4 y19f ff3 fs1 fc0 sc0 ls9 wsb">b) Construir a função a<span class="_2 blank"></span>cumulada de Z e<span class="_2 blank"></span> W </div><div class="t m1 x0 h4 y1a0 ff3 fs1 fc0 sc0 ls9 wsb">c) Aplicando as propri<span class="_2 blank"></span>edades da função acumula<span class="_3 blank"></span>da,<span class="_4 blank"> </span> calcule: </div><div class="t m0 x0 h2 y1a1 ff3 fs0 fc0 sc0 ls9 wsb">c.1) P(-3 < Z <span class="ff5 ls11">\u2264</span> 2) <span class="_37 blank"> </span> <span class="_38 blank"> </span> <span class="_38 blank"> </span>c.2) P( Z < 0) </div><div class="t m0 x0 h2 y1a2 ff3 fs0 fc0 sc0 ls9 wsb">c.3) P(0 <span class="ff5 ls11">\u2264</span> Z <span class="ff5 ls11">\u2264</span> 3,5) <span class="_39 blank"> </span> <span class="_38 blank"> </span> <span class="_38 blank"> </span>c.4) P( 1< W < 4) </div><div class="t m0 x0 h2 y1a3 ff3 fs0 fc0 sc0 ls9 wsb">c.5) P(2 <span class="ff5 ls11">\u2264</span> W<span class="_4 blank"> </span> <span class="ff5 ws18">\u2264<span class="_2 blank"></span><span class="ff3 wsb"> 5) <span class="_3a blank"> </span> <span class="_38 blank"> </span> <span class="_38 blank"> </span>c.6) P( W = 9) </span></span></div><div class="t m0 x0 h2 y1a4 ff3 fs0 fc0 sc0 ls9 wsb">c.7) P(Z = 4) <span class="_4 blank"> </span> <span class="_38 blank"> </span> <span class="_38 blank"> </span> <span class="_38 blank"> </span>c.8) P<span class="_4 blank"> </span>( <span class="_2 blank"></span>W<span class="_4 blank"> </span> > 5) </div><div class="t m1 x0 h4 y1a5 ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h4 y1a6 ff3 fs1 fc0 sc0 ls9 wsb">40) <span class="_3 blank"></span>A <span class="_2 blank"></span>probabilidade<span class="_2 blank"></span> <span class="_3 blank"></span>de <span class="_2 blank"></span>sucesso <span class="_3 blank"></span>de <span class="_3 blank"></span>um <span class="_3 blank"></span>quadro <span class="_2 blank"></span>de <span class="_2d blank"></span>um ar<span class="_2 blank"></span>tista <span class="_3 blank"></span>é <span class="_2 blank"></span>1/3. <span class="_3 blank"></span>Expostos <span class="_3 blank"></span>18 <span class="_3 blank"></span>quadros, </div><div class="t m1 x0 h4 y1a7 ff3 fs1 fc0 sc0 ls9 wsb">calcule a probabilidad<span class="_2 blank"></span>e de: </div><div class="t m1 x0 h4 y1a8 ff3 fs1 fc0 sc0 ls9 wsb">a) 8 teremos sucesso<span class="_3 blank"></span> </div><div class="t m1 x0 h4 y1a9 ff3 fs1 fc0 sc0 ls9 wsb">b) menos do que 3 <span class="_2 blank"></span>terem sucesso. </div><div class="t m1 x0 h4 y1aa ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m1 x0 h5 y1ab ff4 fs1 fc0 sc0 ls9 wse">\ue01b\ue012 6 \ue007\ue006478<span class="ff3 wsb"> </span></div><div class="t m1 x0 h5 y1ac ff4 fs1 fc0 sc0 ls9 wsd">\ue01d\ue012 \ue003 \ue009\ue006\ue008$8<span class="ff3 wsb"> </span></div><div class="t m1 x0 h4 y1ad ff3 fs1 fc0 sc0 ls9 wsb"> </div><div class="t m0 x0 h2 y1ae ff1 fs0 fc0 sc0 ls9 wsb"> </div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div>
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