Men’s heights are normally distributed with a mean of 69.0 inches, and a standard deviation of 2.8 inches. The Mark VI monorail at Disneyworld has a door height of72 inches. a. What doorway height...

Men’s heights are normally distributed with a mean of 69.0 inches, and a standard deviation of 2.8 inches. The Mark VI monorail at Disneyworld has a door height of72 inches.

a. What doorway height would allow 98% of men to walk through without bending?

b. If a random sample of 100 men is taken, what is the chance their average height is at least 70.0 inches?

c. What percent of all men have a height of at least 67.0hinches?