Women’s heights are normally distributed with a mean of 63.7 in. and standard deviation 2.9 in. The U.S. Navy requires that fighter pilots have heights between 62 in. and 78 in. a) Find the percentage...

Women’s heights are normally distributed with a mean of 63.7 in. and standard deviation 2.9 in. The U.S. Navy requires that fighter pilots have heights between 62 in. and 78 in.
a) Find the percentage of women meeting the height requirement. Are many women not qualified because they are too short or too tall?
b) If the Navy changes the height requirements so that all women are eligible except the shortest 3% and the tallest 3%, what are the new height requirements for women?