O ZOOM -+ PROBLEM 4.1 (pg 62, #13) A computer firm presently has bids out on three projects, Let A, = (awarded project /) for / = 1,2,3. Suppose that P(A,) = 0.40, P(A,) = 0.35, P(A,) = 0.30, P(A, nA,) = 0.20, P(AinAs) = 0.10, P(AnAs) = 0.15, and P(AinA;nAs) = 0.07. Compute the probability of each of the following events; a. AVA, b. I'm4; which by DeMorgan's Laws equals (4, UA, ) c. AUA,UA, d. exactly one of A, A,, 4, happens. PROBLEM 4.2 (pg 63, #17) Let A denote the event that the next request for assistance from a statistical software consultant relates to the SPSS package, and let B denote the event that the next request is for help with SAS. Suppose that P(A) = 0.15 and P(B) = 0.70. Assume that any request for help never relates to two or more packages simultaneously. Note: since P(A) + P(B) - 0.85, which is less than 1, there are clearly other packages for which help is requested. a. Calculate P( A' ) b. Calculate P( AUB) c. Calculate P( A' 8 ) which equals P((AUS) )