According to a recentpoll, 29% of adults in a certain area have high levels of cholesterol. They report that such elevated levels"could be financially devastating to the regions healthcaresystem" and are a major concern to health insurance providers. Assume the standard deviation from the recent studies is accurate and known. According to recentstudies, cholesterol levels in healthy adults from the area average about 205 mg/dL, with a standard deviation of about 30 mg/dL, and are roughly Normally distributed. If the cholesterol levels of a sample of 40 healthy adults from the region istaken, answer parts (a) through (d).

a) What is the probability that the mean cholesterol level of the sample will be no more than 205?

P(y205)=