The cholesterol level for adult males is normally distributed with mean 4.8 mmol

Question

The cholesterol level for adult males is normally distributed with mean 4.8 mmol/L and standard deviation 0.6 mmol/L, A person has MODERATE RISK if his cholesterol level is more than 1 but less than 2 standard deviations above the mean. What proportion of the population has moderate risk according to this criterion? A person has HIGH RISK if his cholesterol level is more than 2 standard deviations above the mean. What proportion of the population has high risk? A person within 1 standard deviation of the mean has NORMAL cholesterol risk. What proportion of the population has low risk? Finally, a person has LOW RISK if his cholesterol level is 1 standard deviation or more below the mean. Find the 90th percentile for the cholesterol level for adult males.

Explanation / Answer

a) P(1stdev 2 stdev) = 1 - p(2) = 1 - .9772 = .0228 c) P(-1 z = 1.28 = (x - 4.8) / .6 --> x = 5.568

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