Glucose levels in the patients free of diabetes are

Glucose levels in patients free of diabetes are assumed to follow a normal distribution with a mean of 120 and a standard deviation of 16.

a) What proportion of patients have glucose levels exceeding 115?

b) If a patient has a glucose level of 140, what percentile is this?

c) What is the probability that the mean glucose level exceeds 115 in a sample of 12 patients?

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