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Total Cholesterol According to the U.S. Center for Disease Control (CDC), the mean total cholesterol for...

Total Cholesterol According to the U.S. Center for Disease Control (CDC), the mean total cholesterol for men between the ages of 20 and 29 is 180 micrograms per decilitre with a standard deviation of 36.2. A healthy total cholesterol level is less than 200, 200–240 is borderline, and above 240 is dangerous. Assume that the distribution is approximately Normal.

a. For a randomly selected man from this group, what is the probability that his total cholesterol level is 200 or more?

  1. For a randomly selected man from this group, what is the probability that his total cholesterol level is 240 or more?

  2. If two randomly selected men are chosen from this group, what is the probability that both will have a total cholesterol level of 200 or more? Assume independence.

  3. If 750 randomly selected men are chosen from this group, how many (the count, not the percentage) would you expect to have a total cholesterol level of 200 or more?
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