The serum cholesterol level of U.S. females 20 years old or older is normally di

Question

The serum cholesterol level of U.S. females 20 years old or older is normally distributed with a mean of 200 mg/dL (milligrams per deciliter) and a standard deviation of 44 mg/dL. Let X represent serum total cholesterol level for U.S. females 20 years old or older. One outcome of interest is the probability that a woman has a serum cholesterol level greater than 266 mg/dL. If 1000 U.S. women 20 yrs old or older are randomly selected, how many of them would we expect to have a serum cholesterol level greater than 266 mg/dL? Choose the closest value. (Hint: calculate the probability of interest first)

A. 67

B. 0.0668

C. 0.9332

D. 934

Explanation / Answer

P( z > 266 - 200 / 44 )

P( z> 1.5 )

using tables of normal distribution

P( z> 1.5 ) = 0.0668

how many of them would we expect to have a serum cholesterol level greater than 266 mg/dL?

0.0668 * 1000 = 66.8 = 67

answer : 67

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