A survey found which womens heights are normally distributed with mean 63.7 in and standard deviation 2.2 in. A branch of military requires womens heights to be between 58 in and 80 in.
a. Determine the percentage of women meeting height requirement. Are many women being denied opportunity to join this branch of military because they're too short or too tall?
b. If this branch of military changes the height requirement so that all women are eligible except the shortest 1% and the tallest 2% what are the new height requirement?
a. The percentage of women who meet the height requirement is ___%
b. For the new height requirement,this branch of the military requires womans heights to be at least ___ in and at most ___ in.