Comute the intersection and union of probabilities

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Reference no: EM131455162

Question: The prior probabilities for events .30. The conditional probabilities of event B given A1. A2. and A3 are P(B I A1) = .50. P(B I A2) = .40. and P(B I A3) = 30.

a. Compute P(B ∩ At). P(B ∩ A,). and P(B ∩ A3).

b. Apply Bayes' theorem. equation (4.19). to compute the posterior probability P(A2I B).

c. Use the tabular approach to applying Bayes' theorem to compute P(A1 I B). P(A2 I B). and P(A3 I B).

Reference no: EM131455162

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