We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

AP Statistics : How to find mean of a random variable

Study concepts, example questions & explanations for AP Statistics

Create An Account

All AP Statistics Resources

4 Diagnostic Tests 140 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Random Variables

Let us suppose you are a waiter. You work your first four shifts and receive the following in tips: (1) 20, (2) 30, (3) 15, (4) 5. What is the mean amount of tips you will receive in a given day?

Possible Answers:

$\$17.50$

$\$20$

$\$17$

$\$30$

Correct answer:

$\$17.50$

Explanation:

The answer is 17.5. Simply take the values for each day, add them, and divide by the total number of days to obtain the mean: $\frac{20+30+15+5}{4}$

Report an Error

Example Question #1 : Random Variables

There are 100 collectable coins in a bag. are ounces, are ounces, are ounces, and are ounces. If one coin is randomly selected, what is the mean possible weight in ounces?

Possible Answers:

1.51

5.3

4.9

Correct answer:

4.9

Explanation:

We are required to find the mean outcome where the probability of each possible result varies--the random/weighted mean.

First, multiply each possible outcome by the probability of that outcome occurring.

Second, add these results together.

$(0.4\cdot 3)+(0.1\cdot 5)+(0.3\cdot 6)+(0.2\cdot 7)=4.9$

Report an Error

Example Question #1 : How To Find Mean Of A Random Variable

A basketball player makes $40\%$ of his three-point shots. If he takes three-point shots each game, how many points per game does he score from three-point range?

Possible Answers:

Correct answer:

Explanation:

First convert $40\% \rightarrow 0.40$ .

The player's three-point shooting follows a binomial distribution with n = 10 and p = 0.4 .

On average, he thus makes $np = 10\cdot 0.4 = 4$ three-point shots per game.

This means he averages 12 points per game from three-point range if he tries to make 10 three-pointers per game.

4(3)=12

Report an Error

Example Question #71 : Probability

Tim samples the average plant height of potato plants for his science class and finds the following distribution (in inches):

4,4,5,5,6,6,6,6,6,7,7,7,8,9,10,10,12,14

Which of the following is/are true about the data?

i: the mode is

ii: the mean is 7.33333

iii: the median is

iv: the range is

Possible Answers:

i & ii

all of the above

ii, iii & iv

i, ii & iii

i & iii

Correct answer:

i & ii

Explanation:

Analyzing the data, there are more 6s than anything else (mode), the median is between and (6.5) , the mean is 132/18=7.33333 , and the range is 14-4=10

Report an Error

Example Question #71 : Statistical Patterns And Random Phenomena

Robert's work schedule for next week will be released today. Robert will work either 45, 40, 25, or 12 hours. The probabilities for each possibility are listed below:

45 hours: 0.3

40 hours: 0.2

25 hours: 0.4

12 hours: 0.1

What is the mean outcome for the number of hours that Robert will work?

Possible Answers:

31.6

0.25

30.5

32.7

122

Correct answer:

32.7

Explanation:

We are required to find the mean outcome where the probability of each possible result varies--the random/weighted mean. First, multiply each possible outcome by the probability of that outcome occurring. Second, add these results together.

$(45\cdot 0.3) + (40\cdot 0.2) + (25\cdot 0.4) + (12\cdot 0.1) = 32.7$

Report an Error

View AP Statistics Tutors

Odysseas
Certified Tutor

University of New Hampshire at Manchester, Master of Science, Civil Engineering. National Technical University of Athens, Doc...

View AP Statistics Tutors

Kayley
Certified Tutor

New Mexico State University-Main Campus, Bachelor of Science, Biology, General.

View AP Statistics Tutors

Nishunk
Certified Tutor

University of Delhi, Bachelor of Science, Mathematics and Statistics. University of Delhi, Master of Science, Applied Mathema...

All AP Statistics Resources

4 Diagnostic Tests 140 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

French Tutors in Phoenix, Chemistry Tutors in Dallas Fort Worth, ACT Tutors in Chicago, Physics Tutors in Dallas Fort Worth, MCAT Tutors in Seattle, MCAT Tutors in Philadelphia, Spanish Tutors in Los Angeles, English Tutors in Miami, Calculus Tutors in Houston, Chemistry Tutors in Boston

Popular Courses & Classes

SAT Courses & Classes in Seattle, GRE Courses & Classes in New York City, LSAT Courses & Classes in Seattle, GRE Courses & Classes in Houston, GRE Courses & Classes in San Francisco-Bay Area, GRE Courses & Classes in Philadelphia, GRE Courses & Classes in San Diego, ACT Courses & Classes in Boston, LSAT Courses & Classes in San Francisco-Bay Area, SSAT Courses & Classes in San Francisco-Bay Area

Popular Test Prep

ISEE Test Prep in San Diego, MCAT Test Prep in Miami, SSAT Test Prep in Washington DC, GMAT Test Prep in San Diego, GMAT Test Prep in Chicago, ISEE Test Prep in San Francisco-Bay Area, LSAT Test Prep in Los Angeles, ISEE Test Prep in Houston, GRE Test Prep in Houston, GRE Test Prep in Chicago

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

AP Statistics : How to find mean of a random variable

Study concepts, example questions & explanations for AP Statistics

All AP Statistics Resources

Example Questions

Example Question #1 : Random Variables

Example Question #1 : Random Variables

Example Question #1 : How To Find Mean Of A Random Variable

Example Question #71 : Probability

Example Question #71 : Statistical Patterns And Random Phenomena

All AP Statistics Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: