Question: Use the information given in Problem 22 to find: (a) P(A 1 |E) (b) P(A 2 |E) Data from Problem 22 Suppose that events A

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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