Suppose that in a community the distributions of the heights of men and women, in centimeters, are N (173, 40) and N (160, 20), respectively. Write an algorithm to calculate by simulation the...

Suppose that in a community the distributions of the heights of men and women, in centimeters, are N (173, 40) and N (160, 20), respectively. Write an algorithm to calculate by simulation the approximate value of the probability that (a) a wife is taller than her husband; (b) a husband is at least 10 centimeters taller than his wife.