Manufacturing and selling drugs that claim to reduce an individual's cholesterol level is big business.

A company would like to market its drug to women if their cholesterol is in the top 15%. Assume the

cholesterol levels of adult women can be described by a Normal model with a mean of 188 mg/dL

and a standard deviation of 24. [5+5+5+5+5 points]

(a) What percent of adult women has cholesterol levels over 200 mg/dL?

(b) What is the 25th percentile?

(c) What percent of adult women has cholesterol levels between 150 and 170 mg/dL?

(d) I am about to test ve individuals, randomly selected from the population. What is the Prob-

ability that at least one of them will have cholesterol levels between 150 and 170 mg/dL?

(e) Above what value are the highest 15% of women's cholesterol levels?