The total cholesterol levels of a sample of men aged 35-44 are normally distribu

Question

The total cholesterol levels of a sample of men aged 35-44 are normally distributed with a mean of 216 milligrams per deciliter and a standard deviation of 37.2 milligrams per deciliter. What percent of the men have a total cholesterol level less than 213 milligrams per deciliter of blood? If 254 men in the 35-44 age group are randomly selected, about how many would you expect to have a total cholesterol level greater than 268 milligrams per deciliter of blood? The percent of the men that have a total cholesterol level less than 213 milligrams per deciliter of blood is %. (Round to two decimal places as needed.)

Explanation / Answer

a) P(X<213)=P(Z<(213-216)/37.2)=P(Z<-0.0806)=0.4679 ~46.79%

b) P(X>268)=1-P(X<268)=1-P(Z<1.3978)=1-0.9189=0.0811

hence expected number of ppl =0.0811*254=20.59~21

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