A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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The cholosterol levels of men in the United States are normally distributed, with a mean 215 milligrams per deciliter and a standard deviation 25 milligrams per deciliter. 
1. If a man is randomly selected, what is the probability that his cholesterol level is more than 245? 
2. based on your answer #1, would you consider it unusual for a man to have a cholesterol level of 245? 
3. What cholosterol level cuts off the lowest 10% of levels? 

Expert Solution
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Step 1

1.

The cholesterol levels of men are normally distributed, with a mean 215 milligrams per deciliter and a standard deviation 25 milligrams per deciliter.

The z score for cholesterol level 245 is,

z=x-μσ=245-21525=3025=1.2

The probability of z less than 1.2 can be obtained using the excel formula “=NORM.S.DIST(1.2,TRUE)”. The probability value is 0.8849.

The probability that his cholesterol level is more than 245 is,

Px>245=Pz>1.2=1-Pz1.2=1-0.8849=0.1151

Thus, the probability that man's cholesterol level is more than 245 is 0.1151.

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