Question

The cholesterol level X in healthy individuals is age and sex-dependent. For males under age 21, the average reading of healthy individuals is 160mg/dl with a standard deviation of 10mg/dl. For males 21-29 years old, the mean cholesterol level is 200 mg/dl with a standard deviation of 30 mg/dl, and for males, 30 years and over, the mean cholesterol level reading is 220 mg/dl with a standard deviation of 30 mg/dl. Assuming the cholesterol level follows a normal distribution, find:

a.) P[195 < x < 224] among males whose ages are between 21 to 29 years old.

b.) A cholesterol level X₀ that has the property that 12.5% of males from among those whose age is 30 years or over have a cholesterol level X lower than X₀.

Answer 1

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