統計學達人指導~謝謝?

2020-10-15 9:56 am
事件A、B、設P(A) =D 0.4、P(B) = 0.3與P(B|A) = 0.5 請求出

a. P(A|B) 

b. P(AU B)

回答 (1)

2020-10-15 10:36 am
✔ 最佳答案
P(A) = 0.4, P(B|A) = 0.5

   P(AB) = 0.4 × 0.5 = 0.2
 
P(A|B) = P(AB)/P(B) = 0.2/0.8 = 0.25

P(A∪B) = P(A) + P(B) - P(AB) = 0.4 + 0.3 - 0.2 = 0.5


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