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A computer consulting firm presently has bids out on three projects. Let Ai = {awarded project...

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) = 0.26,P(A3) = 0.28, P(A1 ∩ A2) = 0.07, P(A1 ∩ A3) = 0.09, P(A2 ∩ A3) = 0.08, P(A1 ∩ A2 ∩ A3) = 0.01. 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) =

d)P(A1 ∩ A2 ∩ A3 | A1 ∪ A2 ∪ A3)

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