The height of residential door openings in the United States is 6'8". Use the information in given problem to determine the number of men among 10,000 who have to duck to enter a room.
Problem
The mean height of American men aged 20-29 is 70.0 inches, with a standard deviation of 3.0 inches (Statistical Abstract of the United States: 2009, 2008).
a. The minimum height required for men to join the U.S. Army is 60 inches. What proportion of the population is excluded?
b. What proportion of the population is taller than Napoleon Bonaparte, who was 5'2"?