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Chapter 6: Q. 36 (page 378)

A report of the National Center for Health Statistics says that the height of a 20-year-old man chosen at random is a random variable H with mean 5.8feet (ft) and standard deviation0.24 ft. Find the mean and standard deviation of the height J of a randomly selected 20-year-old man in inches. There are 12 inches in a foot

Short Answer

Expert verified

The mean and standard deviation are:

渭J=69.6

蟽J=2.88

Step by step solution

01

Given Information

Given

渭H=5.8

蟽H=0.24

1foot =12inches

Since 1foot is also 12inches:

J=12H

02

Explanation

Properties mean and standard deviation

渭aX+b=a渭X+b

蟽aX+b=a蟽X

Then we obtain for J=12H:

localid="1649910916895" 渭J=渭12H=12渭H=12(5.8)=69.6

localid="1649910931312" 蟽J=蟽12H=12蟽H=12(0.24)=2.88

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Most popular questions from this chapter

Exercises 47 and 48 refer to the following setting. Two independent random variables Xand Yhave the probability distributions, means, and standard deviations shown.

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Ms. Hall gave her class a 10-question multiple-choice quiz. Let X=the number of questions that a randomly selected student in the class answered correctly. The computer output below gives information about the probability distribution of X. To determine each student鈥檚 grade on the quiz (out of 100), Ms. Hall will multiply his or her number of correct answers by 10. Let G=the grade of a randomly chosen student in the class.

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