Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Use the following information to answer the next eight exercises: The Higher Education Research Institute at UCLA collected data from 203,967incoming first-time, full-time freshmen from270four-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 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 values does the random variable Xtake on?

Short Answer

Expert verified

The random variablesXhas values of0to8.

Step by step solution

01

Given information

Number of students replied is 71.3%.

Number of randomly picked full time freshmen for survey is eight.

02

Explanation

In binomial distribution Xvariables have,

Number of trials is eight

Possibility of success71.3%

So,

X~B(t,P)

X~B(8,0.713)

So the random variable has trial value of eight,

XRandom variable values is ,

X=(0,1,2,3,4,5,6,7,8)

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The World Bank records the prevalence of HIV in countries around the world. According to their data, โ€œPrevalence of HIV refers to the percentage of people ages 15 to 49 who are infected with HIV.โ€[1] In South Africa, the prevalence of HIV is 17.3%. Let X = the number of people you test until you find a person infected with HIV.

a. Sketch a graph of the distribution of the discrete random variable X.

b. What is the probability that you must test 30 people to find one with HIV?

c. What is the probability that you must ask ten people?

d. Find the

(i) mean and

(ii) standard deviation of the distribution of X.

Use the following information to answer the next six 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 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 โ€œyes.โ€ You are interested in the number of freshmen you must ask.

What values does the random variable X take on?

Construct a probability distribution table for the data.

Identify the mistake in the probability distribution table.

Use the following information to answer the next five exercises: A physics professor wants to know what percent of physics

majors will spend the next several years doing post-graduate research. He has the following probability distribution.

Use the following information to answer the next six 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 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 โ€œyes.โ€ You are interested in the number of freshmen you must ask.

On average (ฮผ), how many freshmen would you expect to have to ask until you found one who replies "yes?"

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free