A Spirit airliner carries 200 passengers and has doors with heights of 68.5 inches. Heights of men are normally distributed with a mean 69 in and a standard deviation of 2.8 inches.
6a) If a male passenger is randomly selected, find the probability that he can fit through the door without bending.

6b) If half of the 200 passengers are men, find the probability that the mean height of the 100 men is less than 68in.

pur-new-sol