Question: Total cholesterol level is a common measure to indicate the health status of adults. High levels of cholesterol have been shown to be associated with adverse health outcomes. According to a study by the National Center for Health Statistics, the total cholesterol of American adults 20 years of age and older is normally distributed with a mean of 192 mg/dL and a standard deviation of 16.5 mg/dL. If 50 different American adults are randomly selected, what is the probability that their mean total cholesterol is more than 200.0 mg/dL (the cutoff for high cholesterol)? (5 points)

1. <0.0001
2. 0.0003
3. 0.4800
4. 0.9997
5. 3.43

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