Use the probabilities given above to compute the following probabilities, and explain in words the meaning of each one. (Round your answers to four decimal places.) (a) P(A2 | A1) (b) P(A2 ∩ A3 | A1) (c) P(A2 ∪ A3 | A1)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A computer consulting firm presently has bids out on three projects. Let Ai = {awarded project i}, for i = 1, 2, 3, and suppose that P(A1) = 0.22, P(A2) = 0.25, P(A3) = 0.28, P(A1 ∩ A2) = 0.09, P(A1 ∩ A3) = 0.05, P(A2 ∩ A3) = 0.11, P(A1 ∩ A2 ∩ A3) = 0.02. Use the probabilities given above to compute the following probabilities, and explain in words the meaning of each one. (Round your answers to four decimal places.)

(a)    P(A2 | A1)

(b)    P(A2 ∩ A3 | A1)

(c)    P(A2 ∪ A3 | A1)

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