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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

At The Fencing Center, 60% of the fencers use the foil as their main weapon. We randomly survey 25 fencers at The Fencing Center. We are interested in the number of fencers who do not use the foil as their main weapon.

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