1. Too much cholesterol in the blood increases the risk of heart disease. Young women are generally less afflicted by high cholesterol than other groups. The cholesterol levels for women aged 20 to 34 follow an approximately Normal distribution with mean 185 milligrams per deciliter (mg/dl) and standard deviation 39 mg/dl.
1(a) Cholesterol levels above 240 mg/dl demand medical attention. What percent of young women have levels above 240 mg/dl? (5)
1(b) Levels above 200 mg/dl are considered borderline high. What percent of young women have blood cholesterol between 200 and 240 mg/dl? Draw the density curve and highlight the cumulative area being calculated. (5)
1(c) What should the blood cholesterol level of a young women be if she is considered to be in the bottom 6% of the population?