According to a recentpoll, 26% 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 210 mg/dL, with a standard deviation of about 35 mg/dL, and are roughly Normally distributed. If the cholesterol levels of a sample of 46 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 210?

P(y210)= (answer is 0.500 for this one)

(Round to three decimal places asneeded.)

(b) What is the probability that the mean cholesterol level of the sample will be between 205 and 215?

P(205

(Round to three decimal places asneeded.)

(c) What is the probability that the mean cholesterol level of the sample will be less than 200?

P(y< 200)=

(Round to three decimal places asneeded.)

(d) What is the probability that the mean cholesterol level of the sample will be greater than 222?

P(y>222)=

(Round to three decimal places asneeded.)