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In: Statistics and Probability

According to a recent​ poll, 27​% of adults in a certain area have high levels of...

According to a recent​ poll, 27​% 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 35 ​mg/dL, and are roughly Normally distributed. If the cholesterol levels of a sample of 40 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?

​P(y≤206)= (Round to three decimal places as​ needed.)​

(b) What is the probability that the mean cholesterol level of the sample will be between 201and 211​?

​P(201<y <211​)= ​(Round to three decimal places as​ needed.)​

(c) What is the probability that the mean cholesterol level of the sample will be less than 196​?

​P(y <196)= ​(Round to three decimal places as​ needed.)​

(d) What is the probability that the mean cholesterol level of the sample will be greater than 218​?

​P(y>218)= ​(Round to three decimal places as​ needed.)

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orchestra answered 1 year ago
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