## Serum Cholesterol Levels in Milligrams

February 20, 2019

**Serum Cholesterol Levels in Milligrams for $9 Only**

The serum cholesterol levels in milligrams/deciliter (mg/dL) in a certain Mediterranean population are found to be normally distributed with a mean of 154 and a standard deviation of 28. Answer the following: (a) Determine the z-score for a person from this population that has a cholesterol level of 135. Then find the z-score for someone whose cholesterol level is 217. (b) If x represents a possible cholesterol level from this population, find P(x > 135). (c) Find P(135 < x < 217) and give an interpretation of this value. (d) The top 11% of all people in this group have cholesterol levels that make them “at-risk” for heart problems. Determine the raw-score cholesterol level which separates the at-risk people from the rest of the group.

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