Open In App

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

The Practice of Statistics for AP Examination

Daren Starnes, Josh Tabor

$Math Studyset Vaia Explanations$ Math

6th Edition · 837 pages

ISBN: 9781319113339

Chapter 6: Q. 8. (page 367)

Skee Ball Refer to Exercise 4. Find the mean of X. Interpret this value.

Short Answer

Expert verified

$μ = 23.8$

Step by step solution

Step 1. Given information.

Score	10	20	30	40	50
Probability	0.32	0.27	0.19	0.15	0.07

Step 2. The mean of X.

The expected value (or mean) is the sum of the product of each possibility r with its probability P(X= x):

$μ = Σ x P (X = x) = 10 x 0.32 + 20 x 0.27 + 30 x 0.19 + 40 x 0.15 + 50 x 0.07 μ = 23.8$

On average, the score on a randomly selected roll of the ball is 23.8.

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.

Start your free trial

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

Horse pregnanciesBigger animals tend to carry their young longer before birth. The

length of horse pregnancies from conception to birth varies according to a roughly Normal

distribution with mean $336$ days and standard deviation 6 days. Let X = the length of a

randomly selected horse pregnancy.

a. Write the event “pregnancy lasts between 325 and 345 days” in terms of X. Then find

this probability.

b. Find the value of c such that $P (X \geq c) = 0.20$

Skee Ball Ana is a dedicated Skee Ball player (see photo in Exercise 4) who always rolls for the 50-point slot. The probability distribution of Ana’s score X on a randomly selected roll of the ball is shown here. From Exercise 8, μX=23.8 . Calculate and interpret the standard deviation of X.

Large Counts condition To use a Normal distribution to approximate binomial probabilities, why do we require that both $n p$ and $n (1 - p)$ be a t least $10$ ?

Electronic circuit The design of an electronic circuit for a toaster calls for a $100$ ohm resistor and a $250$ -ohm resistor connected in series so that their resistances add. The components used are not perfectly uniform, so that the actual resistances vary independently according to Normal distributions. The resistance of $100$ -ohm resistors has mean $100$ ohms and standard deviation $2.5$ ohms, while that of $250$ -ohm resistors has mean 250 ohms and standard deviation 2.8ohms.

(a) What is the distribution of the total resistance of the two components in series?

(b) What is the probability that the total resistance

Ms. Hall gave her class a 10-question multiple-choice quiz.

Let $X =$ the number of questions that a randomly selected student in the class answered correctly. The computer output gives information about the probability distribution of $X$ . To determine each student’s grade on the quiz (out of $100$ ), Ms. Hall will multiply his or her number of correct answers by $5$ and then add $50$ . Let $G =$ the grade of a randomly chosen student in the class.

More easy quiz

a. Find the mean of $G$ .

b. Find the range of $G$ .

See all solutions

Recommended explanations on Math Textbooks

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

Skee Ball Refer to Exercise 4. Find the mean of X. Interpret this value.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. The mean of X.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Theoretical and Mathematical Physics

Pure Maths

Mechanics Maths

Discrete Mathematics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Company

Product

Help