Use the information given in Problem 24 to find (a) P(A 1 E) (b) P(A 2 E) (c) P(A 3 E) Data from Problem 24 Suppose that events A 1 , A 2 , and A 3 form a partition of the sample space S with P(A 1 ) 0 3, P(A 2 ) 0 65, and P(A 3 ) 0 05 If E is an event that is a subset of S and P(E A 1 ) 0 05,P(E A...

To find the probabilities PA1E PA2E and PA3E we can use Bayes theorem Given inform ...

Use the information given in Problem 24 to find: (a) P(A 1 |E) (b) P(A 2 |E)

Question:

Use the information given in Problem 24 to find:

(a) P(A₁|E)

(b) P(A₂|E)

(c) P(A₃|E)

Data from Problem 24

Suppose that events A₁, A₂, and A₃form a partition of the sample space S with P(A₁) = 0.3, P(A₂) = 0.65, and P(A₃) = 0.05. If E is an event that is a subset of S and P(E|A₁) = 0.05,P(E|A₂) = 0.25, and P(E|A₃) = 0.5, find P(E).

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Statistics Informed Decisions Using Data

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5th Global Edition

Authors: Michael Sullivan

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Use the information given in Problem 24 to find: (a) P(A 1 |E) (b) P(A 2 |E)

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To find the probabilities PA1E PA2E and PA3E we can use Bayes theorem Given inform...View the full answer

Statistics Informed Decisions Using Data

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