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.
- 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.
- 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?