Question: A1, A2, and A3 are mutually exclusive and exhaustive events such that P(A1) = 0.2, P(A2) = 0.5, and P(A3) = 0.3. B is an

A1, A2, and A3 are mutually exclusive and exhaustive events such that P(A1) = 0.2, P(A2) = 0.5, and P(A3) = 0.3. B is an event such that P(B | A1) = 0.7, P(B | A2) = 0.8, and P(B | A3) = 0.4.
a. Find P(A2 | B).
b. Find P(B).

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