Men's heights are normally distributed with a mean of 69.069.0 inches and a standard deviation

of 2.82.8 inches, while women's heights are normally distributed with a mean of 63.663.6 inches and a

standard deviation of 2.52.5 inches.

a. What percentage of men must duck when walking through a door that is 7272 inches high? [4]

b. What percentage of women must duck when walking through a door that is 7272 inches high? [4]

c. What door height would allow at least 95% of men to walk through the door without ducking? [3]