Human heights are one of many biological random variables that can be modeled by the normal distribution. Assume that the heights of American men have a mean of 69.5 inches and a standard deviation of 3.5 inches.
a. What proportion of all men will be taller than 6'0"?
b. What is the probability that a randomly selected man will be between 5'8" and 6'1" tall?
c. President Barack Obama is 6'1". Is this an unusual height?
d. Of the 43 presidents elected from 1789 through 2008, 18 were 6'0" or taller.1 Would you consider this to be unusual, given the proportion found in part a?