Question

A computer consulting firm presently has bids out on three projects. Let A, = {awarded project ), for i 1, 2, 3, and suppose that P(A,) = 0.22,P(A2) = 0.25,

P(A,) 0.28, P(A,n A2) = 0.12, P(A, n A3) = 0.03, P(A, n Ag) = 0.05, P(A, n A, n Ag) = 0.01. Express in words each of the following events, and compute the probability of each event. (a) A1 U A2 Express in words the event. *awarded only 1 *awarded only 2 *awarded neither 1 nor 2 *awarded either 1 or 2 *awarded either 1 or 2 (or both) Compute the probability of this event. (b) A,'n A, [Hint: (A, U A,)' = A,'n A2] Express in words the event. *awarded only 1 *awarded only 2 *awarded neither 1 nor 2 *awarded either 1 or 2 *awarded either 1 or 2 (or both) Compute the probability of this event.

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