Use the information given in Problem 22 to find: (a) P(A 1 |E) (b) P(A 2 |E)

Question:

Use the information given in Problem 22 to find:

(a) P(A1|E)

(b) P(A2|E)


Data from Problem 22

Suppose that events A1 and A2 form a partition of the sample space S with P(A1) = 0.35 and P(A2) = 0.65. If E is an event that is a subset of S and P(E|A1) = 0.12 and P(E|A2) = 0.09, find P(E).

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