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According to the center for Disease Control, the mean total cholesterol for men between the ages of 20-29 is 180 milligrams per deciliter 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 the distribution is approximately Normal.

  1. 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.
  2. 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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