The Boeing 757-200 ER airliner casrries 200 passengers and has main entry doors with a height of 72 inches. Heights of men are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 in.
If a malepassenger is randomly selected, find the probability that he can fit through the doorway without bending.
How tall would the door need to be if Boeing wanted to ensure 95% of men could fit through the door without bending?