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PROBABILIDADE E ESTATÍSTICA – FORMULÁRIO 𝜇𝑥 = ∑ 𝑥𝑖 𝑛 �̅� = ∑ 𝑥𝑖 𝑛 �̅� = ∑(𝑥𝑖 ∙ 𝑓𝑖) ∑ 𝑓𝑖 �̅� = ∑(𝑃𝑀𝑖 ∙ 𝑓𝑖) ∑ 𝑓𝑖 𝑀𝑑 = 𝐿𝐼𝐶𝑀 + [ ( ∑ 𝑓𝑖 2 − 𝑓𝑎𝑐(𝐶𝑀−1)) ∙ ℎ𝐶𝑀 𝑓𝐶𝑀 ] 𝜎2 = ∑(𝑥𝑖 2) 𝑛 − ( ∑ 𝑥𝑖 𝑛 ) 2 𝑠2 = ∑[(𝑥𝑖 − �̅�) 2] (𝑛 − 1) = ∑(𝑥𝑖 2) (𝑛 − 1) − (∑ 𝑥𝑖) 2 𝑛 (𝑛 − 1) 𝜎2 = ∑(𝑓𝑖 ∙ 𝑥𝑖 2) ∑ 𝑓𝑖 − [ ∑(𝑓𝑖 ∙ 𝑥𝑖) ∑ 𝑓𝑖 ] 2 𝜎2 = ∑[𝑓𝑖 ∙ (𝑃𝑀𝑖) 2] ∑ 𝑓𝑖 − [ ∑(𝑓𝑖 ∙ 𝑃𝑀𝑖) ∑ 𝑓𝑖 ] 2 𝐶𝑉 = 𝑠 �̅� ∙ 100 % 𝑟 = ∑(𝑥𝑦) − (∑ 𝑥) ∙ (∑ 𝑦) 𝑛 [(∑(𝑦2) − (∑ 𝑦)2 𝑛 ) ∙ ( ∑(𝑥2) − (∑ 𝑥)2 𝑛 )] 1/2 𝑦 = 𝑎 + 𝑏𝑥 𝑎 = �̅� − 𝑏 ∙ �̅� �̅� = ∑ 𝑥𝑖 𝑛 �̅� = ∑ 𝑦𝑖 𝑛 𝑏 = ∑(𝑥𝑦) − (∑ 𝑥) ∙ (∑ 𝑦) 𝑛 ∑(𝑥2) − (∑ 𝑥)2 𝑛 𝜎�̅� = 𝜎 √𝑁 𝑧 = ( 𝑥 − 𝜇 ) 𝜎 = ( �̅� − 𝜇�̅� ) 𝜎�̅� 𝑃 (−𝑧𝑐 < 𝑧 < +𝑧𝑐) = (1 − 𝛼) 𝑃 ( �̅� − (𝑧𝑐 ∙ 𝜎�̅�) < 𝜇�̅� < �̅� + (𝑧𝑐 ∙ 𝜎�̅�) ) = (1 − 𝛼) 𝑃 ( �̅� − (𝑧(1−𝛼) 2 ∙ 𝜎 √𝑛 ) < 𝜇 < �̅� + (𝑧(1−𝛼) 2 ∙ 𝜎 √𝑛 ) ) = (1 − 𝛼) 𝑡𝑐 = ( �̅� − 𝜇 ) 𝑠 √𝑛 ; 𝐺𝐿 = 𝑛 − 1 𝑃 ( �̅� − (𝑡𝑐 ∙ 𝑠 √𝑛 ) < 𝜇 < �̅� + (𝑡𝑐 ∙ 𝑠 √𝑛 ) ) = (1 − 𝛼) 𝑃 ( (𝑛 − 1) ∙ 𝑠2 𝜒 ( 𝛼 2) 2 < 𝜎 2 < (𝑛 − 1) ∙ 𝑠2 𝜒 (1− 𝛼 2) 2 ) = (1 − 𝛼) ; 𝐺𝐿 = 𝑛 − 1 𝑧𝑐𝑎𝑙𝑐 = �̅� − 𝜇 ( 𝑠 √𝑛 ) = 𝑡𝑐𝑎𝑙𝑐 𝑧 = ( 𝑥1̅̅̅ − 𝑥2̅̅ ̅ ) − ( 𝜇1 − 𝜇2 ) √ ( 𝜎1 𝑛1 + 𝜎2 𝑛2 ) 𝜒𝑐𝑎𝑙𝑐 2 = ∑ [ (𝑓𝑜𝑖 − 𝑓𝑒𝑖) 2 𝑓𝑒𝑖 ] ; 𝐺𝐿 = 𝑘 − 𝑟 − 1 𝑓𝑒,𝑟𝑘 = ∑ 𝑟 ∙ ∑ 𝑘 𝑁 ; 𝐺𝐿 = (𝑟 − 1)(𝑘 − 1)
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