Suppose height to the bottom of clouds is a Gaussian random variable X for which mean ax = 5000 m, and standard deviation sx = 1000m. A person bets that cloud height tomorrow will fall in the set A={2000m < Xs 4200m) while a second person bets that height will be satisfied by B= (3000m < Xs 5200m). A third person bets they are both correct. Find the probabilities that each person will win the bet.