Question:

? Men's heights are normally distributed with mean 69.0 in. and standard deviation 2.8 in.

? Women's heights are normally distributed with mean 63.6 in. and standard deviation 2.5 in.

a. Height Requirement for Women Soldiers The U.S. Army requires women's heights to be between 58 in. and 80 in. Find the percentage of women meeting that height requirement. Are many women being denied the opportunity to join the Army because they are too short or too tall? What percentage is denied?

b. Find the men’s height that separates the smallest 98% from the largest 2%. In statistical term, find P₉₈ for men’s height.