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Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye
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Solved: The serum cholesterol level X in 14-year-old boys

Chapter 6, Problem 6.37

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QUESTION:

The serum cholesterol level X in 14-year-old boys has approximately a normal distribution with mean 170 and standard deviation 30. (a) Find the probability that the serum cholesterol level of a randomly chosen 14-year-old boy exceeds 230. (b) In a middle school there are 300 14-year-old boys. Find the probability that at least 8 boys have a serum cholesterol level that exceeds 230.

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QUESTION:

The serum cholesterol level X in 14-year-old boys has approximately a normal distribution with mean 170 and standard deviation 30. (a) Find the probability that the serum cholesterol level of a randomly chosen 14-year-old boy exceeds 230. (b) In a middle school there are 300 14-year-old boys. Find the probability that at least 8 boys have a serum cholesterol level that exceeds 230.

ANSWER:

Q: The serum cholesterol level X in 14-year-old boys has approximately a normal distributionwith mean 170 and standard deviation 30. (a) Find the probability that the serum cholesterollevel of a randomly chosen 14-year-old boy exceeds 230. (b) In a middle school there are 30014-year-old boys. Find the probability that at least 8 boys have a serum cholesterol level thatexceeds 230. Step By Step SolutionStep 1 of 2:(a)Given:Mean:Standard deviation:From the table:Therefore, the probability that the serum cholesterol level of randomly chosen 14 year boysexceeds 230 is 0.0228.

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