According to a recent poll, 28% of adults in a certain area have high levels of cholesterol. They report that such elevated levels "could be financially devastating to the regions healthcare system" and are a major concern to health insurance providers. Assume the standard deviation from the recent studies is accurate and known. According to recent studies, cholesterol levels in healthy adults from the area average about

206 mg/dL, with a standard deviation of about 30 mg/dL, and are roughly Normally distributed. If the cholesterol levels of a sample of 48 healthy adults from the region is taken, answer parts (a) through (d).

(a) What is the probability that the mean cholesterol level of the sample will be no more than 206?