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Chapter 4: Q. 83 (page 292)

Use the following information to answer the next four exercises. Recently, a nurse commented that when a patient calls the medical advice line claiming to have the flu, the chance that he or she truly has the flu (and not just a nasty cold) is only about 4%. Of the next 25patients calling in claiming to have the flu, we are interested in how many actually have the flu.
Define the random variable and list its possible values.

Short Answer

Expert verified

X is a random variable that represents the number of people that are infected with the virus. x=0,1,2,3,4,5,6,7,........,25 is a possible value.

Step by step solution

01

Given information

The number of people being polled is 25.

The probability of being chosen and having flu is 0.04.

02

Explanation

We assume X to be a random variable that represents the number of people who are in fact infected with the virus. In this question, we'll take a sample of 25patients, withX being the number of persons out of 25who are genuinely sick with the flu.

The random variableX can take on any of the following values: 0,1,2,3,4,5,6,7,........25.This is because we're taking a sample of25people, and X may be0 if no one has the virus, or it could be 25 if everyone has the illness.

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Most popular questions from this chapter

In words, the random variableX=_________________

a. the number of times Mrs. Plum鈥檚 cats wake her up each week.

b. the number of times Mrs. Plum鈥檚 cats wake her up each hour.

c. the number of times Mrs. Plum鈥檚 cats wake her up each night.

d. the number of times Mrs. Plum鈥檚 cats wake her up.

A palette has 200 milk cartons. Of the 200 cartons, it is known that ten of them have leaked and cannot be sold. A stock clerk randomly chooses 18 for inspection. He wants to know the probability that among the 18, no more than two are leaking. Give five reasons why this is a hypergeometric problem.

On May 11, 2013 at 9:30 PM, the probability that moderate seismic activity (one moderate earthquake) would occur in the next 48hours in Japan was about 1.08%. As in Example 4.8, you bet that a moderate earthquake will occur in Japan during this period. If you win the bet, you win \(100. If you lose the bet, you pay\)10. Let X = the amount of profit from a bet. Find the mean and standard deviation of X.

Use the following information to answer the next five exercises: Suppose that a group of statistics students is divided into two groups: business majors and non-business majors. There are 16business majors in the group and seven non-business majors in the group. A random sample of nine students is taken. We are interested in the number of business majors in the sample.

What values does Xtake on?

Use the following information to answer the next five exercises: Suppose that a group of statistics students is divided into two groups: business majors and non-business majors. There are 16business majors in the group and seven non-business majors in the group. A random sample of nine students is taken. We are interested in the number of business majors in the sample.

Find the standard deviation.
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