The mean serum cholesterol level for U.S. adults was 198, with a standard deviation of 39.3 (the units are milligrams per deciliter). A simple random sample of 106 adults is chosen. Use Cumulative Normal Distribution Table if needed. Round the answers to at least four decimal places (a) What is the probability that the sample mean cholesterol level is greater than 205? (b) What is the probability that the sample mean cholesterol level is between 186 and 192? (c )Would it be unusual for the sample mean to be less than 194?

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The mean serum cholesterol level for U.S. adults was 198, with a standard deviation of 39.3 (the units are milligrams per deciliter). A simple random sample of 106 adults is chosen. Use Cumulative Normal Distribution Table if needed. Round the answers to at least four decimal places

(a) What is the probability that the sample mean cholesterol level is greater than 205?
(b) What is the probability that the sample mean cholesterol level is between 186 and 192?
(c )Would it be unusual for the sample mean to be less than 194?
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