Too much cholesterol in the blood increases the risk of heart disease. Young women are generally less afflicted with high cholesterol than other…

Too much cholesterol in the blood increases the risk of heart disease. Young women are generally less afflicted with high cholesterol than other groups. The cholesterol levels of women aged 20 to 34 follow an approximately normal distribution with mean 185 milligrams per deciliter (mg/dL) and standard deviation 39mg/dL.

a. Cholesterol levels above 240 mg/dL demand medical attention. What is the probability of choosing a young woman aged 20 to 34 at random and having her cholesterol level above 240 mg/dL?

b. If I chose 4 women at random, aged 20 to 34 years, what is the probability that the average cholesterol level of the 4 women is 240mg/dL or higher?

c. If I chose 4 women at random, aged 20 to 34 years, what is the probability that 1 out of the 4 women has a cholesterol level of 240 mg/dL or higher? d. Suppose that I choose 4 women at random, aged 20 to 34 years. Their names are Lisa, Yee, Dawn, Anita. You have no other information about these women. What is the probability that Lisa is the only one with a cholesterol level above 240mg/dL. 

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