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1. The total cholesterol levels of a sample of men aged 35-44 are normally distributed with a mean of 206 milligrams per deciliter and a standard deviation of 38.9 milligrams per deciliter.
a) What percent of the men have a total cholesterol level less than 215 milligrams per deciliter of blood?
b) If 241 men in the 35-44 age group are randomly selected, about how many would you expect to have a total cholesterol level greater than 268 milligrams per deciliter of blood?
(Round to two decimal places.)
2. Use the normal distribution of fish lengths for which the mean is 9 inches and the standard deviation is 2 inches. Assume the variable x is normally distributed.
a) What percent of the fish are longer than 11 inches?
b) If 200 fish are randomly selected, about how many would you expect to be shorter than 6 inches?
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