An airliner carries 350 passengers and has doors with a height of 72 in. Heights of men are normally distributed with a mean of 69.0 in and a standard deviation of 2.8 in. Complete parts (a) through (d).
A. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending:
B. If half the passengers are men, find the probability that the mean height of the 175 men is less than 72 in
C. When considering the comfort and safety of passengers, which result is more relevant: the probability from part (a) or the probability from part (b)? Why?
D. When considering the comfort and safety of passengers, why are women ignored in this case?