Problem 3. (10pts) The Venn diagram provided shows a sample space and two events A and B. Suppose P(a) = 0.13, P(b) = 0.09, P(c) = 0.27, P(d) = 0.20, and

P(e) = 0.31. Confirm that the probabilities of the outcomes add up to 1, then compute the following probabilities. (a) P(A). (b) P(B). (c) P(A¹). (4) P(AB). (e) P(AUB). . a d e B