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39. The prior probabilities for events A, and A2 are P(A,) = .40 and P(A2) = .60. It is also known that P(A, n A2) = 0. Suppose P(B IA,) = .20 and P(B | A2) = .05. a. Are A, and A2 mutually exclusive? Explain. b. Compute P(A, n B) and P(A2 n B). c. Compute P(B). d. Apply Bayes' theorem to compute P(A, | B) and P(A, | B)