The US Air Force requires that pilots have weights between 6

The U.S Air Force requires that pilots have weights between 64in and 77in. Men\'s heights are normally distributed with mean 69.5in and standard deviation 2.4 in. Women\'s heights are normally distributed with mean 63.8in and standard deviation 2.6in.

a. Find the % of women meeting te height requirements?

b. Find the % of men meeting the height requirements?

c. If the Air Force height requirements are changed to exclude only the tallest 3% of men and the shortest 3% of women, what are the new height requirement?

Solution

P(64< Xw< 77) =0.4693

Wome might be too short

P(64< Xm< 77) =0.9881          most men