P(A1) = 0.22, P(A2) = 0.25, P(A3) = 0.28, P(A1 ∩ A2) = 0.14, P(A1 ∩ A3) = 0.04, P(A2 ∩ A3) = 0.07, P(A1 ∩ A2 ∩ A3) = 0.01.
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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) = 0.14, P(A1 ∩ A3) = 0.04, P(A2 ∩ A3) = 0.07, P(A1 ∩ A2 ∩ A3) = 0.01. Express in words each of the following events, and compute the probability of each
(a) A1' ∩ A2' ∩ A3.
(b) (A1' ∩ A2') ∪ A3.
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