Question: High Cholesterol Levels The serum cholesterol levels in men aged 18-24 are normally distributed with a mean of 178.1 and a standard deviation of 40.7. Units are \(\mathrm{mg} / 100 \mathrm{~mL}\), and the data are based on the National Health Survey.

1. If one man aged 18-24 is randomly selected, find the probability that his serum cholesterol level is greater than 260 , a value considered to be "moderately high.
2. If one man aged 18-24 is randomly selected, find the probability that his serum cholesterol level is between 170 and 200 .
3. If 9 men aged 18-24 are randomly selected, find the probability that their mean serum cholesterol level is between 170 and 200 .
4. The Providence Health Maintenance Organization wants to establish a criterion for recommending dietary changes if cholesterol levels are in the top \(3 \%\). What is the cutoff for men aged 18-24 ?

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