The heights of men in a certain population follow a normal distribution with mean 69.7 inches and standard deviation 2.8 inches.15
(a) If a man is chosen at random from the population, find the probability that he will be more than 72 inches tall.
(b) If two men are chosen at random from the population, find the probability that (i) both of them will be more than 72 inches tall; (ii) their mean height will be more than 72 inches.