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

In words, define the random variable X.

Short Answer

Expert verified

The number of years a student will study contemporary with this dance teacher is the random variable X.

Step by step solution

01

Given Information

The random variableXofcontemporary. instructor wants to know what proportion of last year's class will return the next year so she can plan what classes to provide. She has developed the following probability distribution over the years, where represents the number of years a student will study ballet with the teacher and means the probability of studying for those years.

02

Explanation

The number of years a student will study contemporary.

with this dance teacher is the random variable X.

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

Construct a probability distribution table for the data.

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.

An electronics store expects to have ten returns per day on average. The manager wants to know the probability of the store getting fewer than eight returns on any given day. State the probability question mathematically.

Suppose that the probability that an adult in America will watch the Super Bowl is 40%. Each person is considered independent. We are interested in the number of adults in America we must survey until we find one who will watch the Super Bowl.

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. How many adults in America do you expect to survey until you find one who will watch the Super Bowl?

e. Find the probability that you must ask seven people.

f. Find the probability that you must ask three or four people

Use the following information to answer the next six exercises: On average, a clothing store gets 120customers per day.

What values does Xtake on?

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