Suppose that in a community the distributions of heights of men and women (in centimeters) are N (173, 40) and N (160, 20), respectively. Calculate the probability that the average height of 10...

Suppose that in a community the distributions of heights of men and women (in centimeters) are N (173, 40) and N (160, 20), respectively. Calculate the probability that the average height of 10 randomly selected men is at least 5 centimeters larger than the average height of six randomly selected women.