An airliner carries 50 passengers and has doors with a height of 70 inches. Heights of men are normally distributed with a mean of 69 inches and a standard deviation of 2.8 inches.
A) If a male passenger is rndomly selected, find the probability that he will fit through the doorway without bending.
B) If half of the 50 passengers are men, find the probability that the mean height of the men of the 25 men is less than 70 inches.