The Boeing 757-200 ER airliner carries 200 passenger and has doors with a height of 72 in. .Heights of men are normally distributed with the mean of 69.0 in. and a standared deviation of 2.8in
a. if a male passsenger is randomly selected , find the probablity that he can fit through the doorway without bending .
b. if half of the 200 passengers are men . find the probalitity that the mean height of the 100 men is less than 72 in.
c. When considering the comfort and safety of the passenger which result is more relevant . the result from (a) or the probability from part (b) ? Pls describe why
d. when considering the comfort and safety of passengers why are women ignored in this case?