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The National Health and Nutrition Examination Survey reported that in a recent year, the mean serum cholesterol level for U.S. adults was 200, with a

The National Health and Nutrition Examination Survey reported that in a recent year, the mean serum cholesterol level for U.S. adults was 200, with a standard deviation of 30 (the units are milligrams per deciliter). A simple random sample of 35 adults is chosen. What is the probability that the mean cholesterol level is less than 205?

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