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Chapter 4: Q. 41 (page 286)

Use the following information to answer the next eight exercises: The Higher Education Research Institute at UCLA collected data from203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in theU.S. 71.3% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly pick eight first-time, full-time freshmen from the survey. You are interested in the number that believes that same sex-couples should have the right to legal marital status.

On average(渭), how many would you expect to answer yes?

Short Answer

Expert verified

The average number of freshmen answering yes is5.704~5.

Step by step solution

01

Given information

Samplesize,n=8Theporportionofstudentswhosaidyestohavetherighttolegalmartialstatus=71.3%

02

Explanation

The average number of students who would answer yes is calculated by

渭=np

wherenis the number of trials andpis the probability of success.

p=0.713

localid="1649834849613" 渭=8*0.713=5.704鈮�5

As a result, the predicted number of freshmen who say yes is 5.704, which is roughly equal to5.

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Most popular questions from this chapter

Use the following information to answer the next eight exercises: The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in theU.S. 71.3% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly pick eight first-time, full-time freshmen from the survey. You are interested in the number that believes that same sex-couples should have the right to legal marital status.

What is the probability that at least two of the freshmen reply鈥测别蝉鈥�?

Use the following information to answer the next six exercises: The Higher Education Research Institute at UCLA collected data from203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 71.3% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly select freshman from the study until you find one who replies 鈥測es.鈥� You are interested in the number of freshmen you must ask.

Construct the probability distribution function (PDF). Stop at x = 6.

Define the random variable X.

P(x=4)= _______

Suppose that nine Massachusetts athletes are scheduled to appear at a charity benefit. The nine are randomly chosen from eight volunteers from the Boston Celtics and four volunteers from the New England Patriots. We are interested in the number of Patriots picked.

a. In words, define the random variable X.

b. List the values that X may take on.

c. Give the distribution of X. X ~ _____(_____,_____)

d. Are you choosing the nine athletes with or without replacement?
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