Atividade -A4 - probabilidade e estatistica aplicada

Prévia do material em texto

���������� ����	
�����
���������
�
����
�
�����������
�
���
�����
������� !� "�#$ %�	&�#%��'� �����"���(�%)	��*+��&!�,*-�,�*�%)	��*.��(//+��01��%��	%""�	 .��
23456789:
;<4=6>8?34
@A67B4C=3<=B=7DB4E9:CF36G7=7H:ICJ4=3C=34=3C4KCF:H3C436CL37=:C>GBCD3MI
N:68B6C5:<5O>49:J4=3C=34=3CF:H3C436C4BOD:C3C63=:GBH:CF:4=367:6G3<=3I
PC37Q:CH:C6:OBG3<=:CH3C>GBCG:=:C=3GCD7HBCGRH7BCH3C53<=:C3C57<S>3<=BCG7OCS>7OTG3=6:4C3
H34D7:UFBH69:CH3C57<5:CG7OCS>7OTG3=6:4ICVBO5>O3CBC5WB<53CH3C>GBCG:=:C=36C43>C37Q:CH3
6:OBG3<=:C5:GCD7HBC3<=63C53<=:C3CS>B63<=BCG7OCS>7OTG3=6:4C3C53<=:C3C43443<=BC3C57<5:CG7O
S>7OTG3=6:4I
X
23CB5:6H:C5:GC:CBF6343<=BH:YCB447<BO3CBCBO=36<B=7DBC5:663=BI
Z[Y\Z]I
[̂Y__]I
_̀YZa]I
[bYb[]I
cbYb̀]I
dBODB6C634F:4=B
E>GBC3GF634BCH3CF6:e3=:4C=35<:OKf75:4C3GC3<f3<WB67BCH3CB>=:GB89:YC:C4BOA67:CH:4
L><57:<A67:4C=3GCGRH7BCH3CghĈiIiiiYiiYC5:GCDB67j<57BCH3CghCcbiIiiiYiiICk:
43O357:<B6G:4CBO3B=:67BG3<=3C>GCL><57:<A67:CH344BC3GF634BYCH3=36G7<3CBC5WB<53CH3C:
DBO:6CH3C43>C4BOA67:C34=B6C3<=63CghCZI_iiYiiC3CghĈiIbiiYiiIC
X
23CB5:6H:C5:GC:CBF6343<=BH:YCGB6S>3CBCBO=36<B=7DBC5:663=BI
iỲ\I
iYb_I
iYaZI
iŶ[I
iYb̂I
dBODB6C634F:4=B
lGBC=>6GBCH3ĈaiC34=>HB<=34C=3GC43>CF34:C43f><H:C>GBCH74=67m>789:C<:6GBOICPCF34:
GRH7:CH344BC=>6GBCRCH3Cc\ỲCnfYC5:GCH34D7:UFBH69:CH3C\Y\CnfICd3O357:<B<H:C>GCH34434
34=>HB<=34CB:CB5B4:YC5BO5>O3CBCF6:mBm7O7HBH3CH3C345:OW36G:4C>GC34=>HB<=3C5:GCF34:
7f>BOC:>C4>F367:6CBC[aCnfI
X
Xk447<BO3CBCBO=36<B=7DBCS>3C5:6634F:<H3CB:C<oG36:CBF6:Q7GBH:CH3C34=>HB<=34C5:GC344B
5B6B5=36p4=75BI
_C34=>HB<=34I
dBODB6C634F:4=B
VO7S>3C3GCJ<D7B6CFB6BC3<D7B6ICVO7S>3C3GCdBODB6C=:HB4CB4C634F:4=B4CFB6BC4BODB6C=:HB4CB4C634F:4=B4I
���������� ����	
�����
���������
�
����
�
�����������
�
���
�����
������� !� "�#$ %�	&�#%��'� �����"���(�%)	��*+��&!�,*-�,�*�%)	��*.��(//+��01��%��	%""�	 ���
23456789:;756<
=>456789:;756<
==456789:;756<
2?456789:;756<
@8A:4B;9C67DB:4954EDF98GHF4954ED5IF6J4K:9:4E:KF7545;6:K:9F4KF;7LA4MN4OI<4PFAF
5QB675A4R:DB:GS564954E56F49548A46:KF4E:D:4F87DFJ4:668A5T6548A4956RBFTE:9DHF4954NJM4OI<
UFA:;9F4KFAF4V:654:49B67DBV8BGHF4;FDA:W4954X:866J48A:4R5Y4Z854F4E56F4L48A:4R:DB[R5W
:W5:7\DB:4KF;7];8:J4K:WK8W54:4EDFV:VBWB9:954954Z8548A46:KF4KF;75;̂:45;7D54_̀JM4OI454MN
OI<4aFD4bAJ4:66B;:W54:4:W75D;:7BR:4KFDD56EF;95;75<
NJ3_23<
NJc?̀2<
NJ=c32<
NJ?=2?<
NJ2?3c<
d:WR:D4D56EF67:
eA45;I5;̂5BDF4KFW57:4:64A59B9:64954KFDD5;7545A48A4KBDK8B7F454R5DBbK:4Z854566:6465I85A
8A:49B67DBV8BGHF4;FDA:W4KFA4 4f54 4<f4P:WK8W5
:4K̂:;K549548A:49:64A59B9:6465D468E5DBFD4:4234ABWB:AE5D56454A:DZ854:4:W75D;:7BR:
KFDD57:4:V:BQF<
2NJ_g<
23Jcg<
cJ=g<
>J?g<
J̀Mg<
d:WR:D4D56EF67:
eA:4R:DB[R5W4:W5:7\DB:4h475A49B67DBV8BGHF4;FDA:W4KFA4AL9B:4 4f54956RBFTE:9DHF
4<4@5K566B7:;9F465W5KBF;:D4:W5:7FDB:A5;7548A49:9FJ4K:WK8W54:4EDFV:VBWB9:95
956654R:WFD4567:D45;7D54K5;7F454RB;75454K5;7F45465665;7:454KB;KF<4aFD4bAJ4A:DZ854:
:W75D;:7BR:4KFDD57:4:V:BQF<
M3g<
>3g<
M̀g<
M?g<
?=g<
d:WR:D4D56EF67:
eA45;I5;̂5BDF4KFW57:4:64A59B9:64954KFDD5;7545WL7DBK:45A48A49575DAB;:9F4KBDK8B7F45
R5DBbK:4Z8545W:6465I85A48A:49B67DBV8BGHF4;FDA:W4KFA4 4f5
P:WK8W5:668AB;9F:9B67DBV8BGHF;FDA:WFR:WFD95
d:WR:D4D56EF67:
PWBZ8545A4i;RB:D4E:D:45;RB:D<4PWBZ8545A4d:WR:D47F9:64:64D56EF67:64E:D:46:WR:D47F9:64:64D56EF67:6<
���������� ����	
�����
���������
�
����
�
�����������
�
���
�����
������� !� "�#$ %�	&�#%��'� �����"���(�%)	��*+��&!�,*-�,�*�%)	��*.��(//+��01��%��	%""�	 2��
34536789:8;<37==:>?@AB373A?=CD?E:?FGB3@BD>78<3B3H78BD3A;3 3<
I7D73B3J:783 35KBD3L><37==?@78;37378C;D@7C?H739BDD;=IB@A;@C;4
MN<M4
OO<P4
OO<N4
MQ<R4
MS<M4
T3C;>I;D7C:D73A;3:>73U;87A;?D73VB?37V;D?A73;379B>I7@W7A73IBD3:>3I;DXBAB3A;3ON3WBD7=3;
@BCB:Y=;3J:;373>ZA?73A;3H78BD;=3Z3?U:78373 3<39B>3A;=H?BYI7ADGB3A;3 343[:7837
IDBE7E?8?A7A;3A;<37B3=;8;9?B@7D>B=3:>3>B>;@CB3I7D737V;D?FGB3A73C;>I;D7C:D7<3C;D>B=
:>3H78BD3;@CD;53 35;53 3\3
5
];379BDAB39B>3B37ID;=;@C7AB<37==?@78;37378C;D@7C?H739BDD;C74
S<NNR̂4
S<NN̂R4
S<̂NRN4
S<R̂NN4
S<̂RNN4
_78H7D3D;=IB=C7
>̀73H7D?aH;83b<3J:;3D;ID;=;@C73B3@c>;DB3A;3I;F7=3A;V;?C:B=7=3;>3:>3A;C;D>?@7AB38BC;
IDBA:d?AB3IBD3:>73VaED?97<3C;>3A?=CD?E:?FGB3@BD>7839B>3>ZA?73 35;3A;=H?BY
I7ADGB3 3453e;9;==?C7@AB3=;8;9?B@7D378;7CBD?7>;@C;3:>3A7AB<39789:8;37
IDBE7E?8?A7A;3A;3;8;3;=C7D3;@CD;39;@CB3;3B?C;@C73;3A:d;@CB=3;3A;d3;3;=9B8W737378C;D@7C?H7
9BDD;C737E7?fB4
ROg4
Ohg4
MNg4
MMg4
MQg4
_78H7D3D;=IB=C7
T39B@9;@CD7FGB3A;3:>73A;C;D>?@7A73=:E=Ci@9?73@B39BDIB3W:>7@B3C;>3A?=CD?E:?FGB
@BD>783A;3>ZA?73h3I4I4>43;3A;=H?B3I7ADGB3A;3M<P3I4I4>436789:8;373IDBE7E?8?A7A;3I7D73J:;<
;>3:>3A;C;D>?@7AB3A?7<3;==739B@9;@CD7FGB3=;j73>7?BD3B:3?U:78373B3H78BD3A;3MS3I4I4>43TIk=
?==B<37==?@78;37378C;D@7C?H739BDD;=IB@A;@C;4
ĝ4
MOg4
hg4
MSg4
MMg4
_78H7D3D;=IB=C7
68?J:;3;>3l@H?7D3I7D73;@H?7D4368?J:;3;>3_78H7D3CBA7=37=3D;=IB=C7=3I7D73=78H7D3CBA7=37=3D;=IB=C7=4
���������� ����	
�����
���������
�
����
�
�����������
�
���
�����
������� !� "�#$ %�	&�#%��'� �����"���(�%)	��*+��&!�,*-�,�*�%)	��*.��(//+��01��%��	%""�	 ���
2345678798:;<4=>8?=>=87;<4=>@82345678798A=3<=>8BCD=E8=E8>7E?CEB=E8?=>=8E=3<=>8BCD=E8=E8>7E?CEB=E@