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) =.22, P(A2) = .25, P(A3) = .28, P(A1?A2) = .11,P?(A1?A3)= .05, P(A2?A3) = .07, P(A1?A2?A3)= .01. Express in words each of the following events, and compute the probability of each event: a. A1?A2 b.A?1?A?2[?Hint:(? A1?A2) ?= ?(? A?1?A?2] c.A1?A2?A3 d. A?1?A?2?A?3 e. A?sub>1?A?2?A3 f.( A?1?A?;2) ?A3

Answer: Step 1: Given, a computer consulting firm presently has bids out on three projects. Let A = { awarded project i}, for i = 1,2,3. i Suppose that P(A )= 0.22 1 P(A )2 0.25 P(A )3 0.28 P(A1A ) 2 0.11 P(A 1A ) =30.05 P(A A ) = 0.07 2 3 P(A A A ) = 0.01 1 2 3 Here we need to compute the probability of each event: