The total cholesterol levels of a sample of men aged 36-44 are normally distribu

Question

The total cholesterol levels of a sample of men aged 36-44 are normally distributed with a mean of 218 milligrams per deciliter a standard deviation of 36.9 milligrams per deciliter a) What percent of the men have a total cholesterol level less than 216 milligrams per deciliter of blood? b)If 255 men in the 35-44 age group are randomly selected, about how many would you expect to have a total cholesterol level greater than 250 milligrams per deciliter of blood? (a) The percent of the men that have a total cholesterol level less than 216 milligrams per deciliter of blood is ___ %. (b) Of the 255 men selected __ would be expected to have a total cholesterol level greater than 250 milligrams per deciliter of blood.

Explanation / Answer

a) P(X < 216)

= P(z < (216 - 218)/36.9)

= P(z < -0.05)

= 0.4784

Hence,

The percentage is 47.84%

b) P(X > 250) = 0.1929

Hence,

Expected number of people having low cholestrol = 0.1929*256 = 49

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