Values of HDL cholesterol levels (good cholesterol) vary in a certain population with values according to a normal distribution of mean 32.0 and standard deviation 4.0 ml/dl. Answer the following questions: a. If we define as a normal range an interval of cholesterol values symmetric around the mean that correspond to a probability of 0.80, what will be the upper limit of the range? b. If an HDL cholesterol measurement has cholesterol deviating more than 3.0 standard deviations from the mean, your cholesterol value is considered atypical, otherwise it is considered normal. In this way, a cholesterol of 39.0ml/dl is classified as: 0-normal or 1-atypical? (answer 0 or 1) c. What is the probability of randomly selecting an HDL cholesterol measurement with cholesterol below 34.0 knowing that the value is above 28.0 ml/dl?

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Values of HDL cholesterol levels (good cholesterol) vary in a certain population with values according to a normal distribution of mean 32.0 and standard deviation 4.0 ml/dl.

Answer the following questions:

a. If we define as a normal range an interval of cholesterol values symmetric around the mean that correspond to a probability of 0.80, what will be the upper limit of the range?

b. If an HDL cholesterol measurement has cholesterol deviating more than 3.0 standard deviations from the mean, your cholesterol value is considered atypical, otherwise it is considered normal. In this way, a cholesterol of 39.0ml/dl is classified as: 0-normal or 1-atypical? (answer 0 or 1)

c. What is the probability of randomly selecting an HDL cholesterol measurement with cholesterol below 34.0 knowing that the value is above 28.0 ml/dl?

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