A random experiment can result in one of the outcomes {a, b, c, d} with probabilities 0.1, 0.3, 0.1, and 0.1, respectively. Let A = {a, b}, B = {b, c, d}, and C = {d}. Find the following: a. P(A), P(B), and P(C) b. P[(AnB)UC] c. P[(A'UB') n C'] 2) %3D

On Mr. Casper's debate team at Thunderbird High School, 20% of the members are Sophomores, 35% are Juniors and 45% are Seniors. A team member is selected randomly to give the closing argument for the team. If a sophomore gives the closing argument, the team has a probability of 0.25 of winning the debate. If a junior gives the closing argument, the probability of winning is 0.6. If a senior closes, the probability of winning is 0.85. (a) Find the probability that the team wins the debate.   b sketch a tree diagram to model this process

An experiment consists of 5 elementary outcomes, with the following probabilities: e | Pr(e) e1 | 0.1 e2 | 0.1e3 | 0.2e4 | 0.3e5 | 0.3 If E = {e1,e2,e3} and F = {e2,e3,e4}, then Pr(E and F) isa. .50 b. .70 c. .67 d. .30

A survey has shown that 52% of the wom-en in a certain community work outside the home. Of these women, 64% are married, while 86% of the women who do notwork outside the home are married. Find the probabilities thata woman in that community can be categorized as follows.a. Marriedb. A single woman working outside the home