The cholesterol levels of adult American women are distributed approximately Normally with =188 mg/dL and =24 mg/dL. (mg/dL = milligrams per deciliter, which is totally not important for understanding this problem.)

a. [3 points] What percentage of these women have a cholesterol level no higher than 240 mg/dL? b. [3 points] What is the cholesterol range of the middle 80% of these women? (That is, the women who are not in the lowest 10% and not in the highest 10%.) c. [2 points] If we select a woman from this population at random, what is the probability that her cholesterol level will be more than 36 mg/dL above the mean? d. [2 points] If we select 25 women at random from this population, what is the probability that their mean cholesterol level will be less than 200 mg/dL?

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