Suppose that the height of a person is normally distributed with a mean of 5' 9" (69") and a standard deviation of 2 inches.Find the minimum height of the ceiling of an airplane, such that at most 2 % of the people walking down the aisle will have to duck their heads.

a)Define the random variable, i.e., Let X = ? (show work)

b)Solve the problem (show work)