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

Complete the PDF and answer the questions.

a. Find the probability thatx=2.

b. Find the expected value.

Short Answer

Expert verified

(a) Px=2=0.1.

(b) The expected value is1.6.

Step by step solution

01

Given information (part a)

02

Explanation

X
Px
X.Px
0
0.3
0
1
0.2
0.2
2
0.1
0.2
3
0.4
1.2
Total1
1.6

Px=0+Px=1+Px=2+Px=3=10.3+0.2+Px=2+0.4=1Px=2=1-0.9Px=2=0.1

The sum of all probabilities for a random variable is1. By this concept, we got the Probability ofx=2.

03

Given information (part b)

04

Explanation (part b)

X
PX
X.Px
0
0.3
0
1
0.2
0.2
2
0.1
0.2
3
0.4
1.2
Total1
1.6

Ex=โˆ‘xPX=xEx=0ร—Px=0+1ร—Px=1+2ร—Px=2+3ร—Px=3Ex=0ร—0.3+1ร—0.2+2ร—0.1+3ร—0.4Ex=1.6

Thus, the expected value is1.6.

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 state health board is concerned about the amount of fruit available in school lunches. Forty-eight percent of schools in the state offer fruit in their lunches every day. This implies that 52% do not. What would a "success" be in this case?

Complete Table 4.20 using the data provided.

What is the probability the baker will sell more than one batch? P(x>1)=_______

Approximately 8%of students at a local high school participate in after-school sports all four years of high school. A group of 60seniors is randomly chosen. Of interest is the number that participated in after-school sports all four years of

high school.

a. In words, define the random variable X.

b. List the values that Xmay take on.

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

d. How many seniors are expected to have participated in after-school sports all four years of high school?

e. Based on numerical values, would you be surprised if none of the seniors participated in after-school sports all

four years of high school.

f. Based on numerical values, is it more likely that four or that five of the seniors participated in after-school sports

all four years of high school? Justify your answer numerically.

You are playing a game of chance in which four cards are drawn from a standard deck of 52 cards. You guess the suit of each card before it is drawn. The cards are replaced in the deck on each draw. You pay 1toplay.Ifyouguesstherightsuiteverytime,yougetyourmoneybackand256. What is your expected profit of playing the game over the long term?

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