/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q.70 A theater group holds a fund-rai... [FREE SOLUTION] | 91影视

91影视

A theater group holds a fund-raiser. It sells 100 raffle tickets for \(5 apiece. Suppose you purchase four tickets. The prize is two passes to a Broadway show, worth a total of \)150.

a. What are you interested in here?

b. In words, define the random variable X.

c. List the values that X may take on.

d. Construct a PDF.

e. If this fund-raiser is repeated often and you always purchase four tickets, what would be your expected average winnings per raffle?

Short Answer

Expert verified

(a). Net profit.

(b). Xdefines the net profit earned by copping 4 raffle tickets.

(C). Xcan take only 2 values -20and130.

(d).

X
P(X)
-20
P(X=-20)=4!0!(100-0)!11000991004=0.96
130
P(X=130)=4!0!(100-1)!11000991003=0.04
TOTAL
1

(e). The Expected average earning is-14.

Step by step solution

01

Explanation of Solution

(a).

100 raffle tickets deals for$5all.

You buy 4 tickets

Prize is two passes to a Broadway show worth total$150.

Interpretation:

As per the questions the most important thing is net profit, if we buy 4 raffle tickets what the net profit will is should be our main concern.

02

:Explanation of Solution

(b).

Given:

100 truck tickets deals for$5all. You buy 4 tickets

Prize is two passes to a Broadway show worth total$150.

Interpretation:

In this question,Xis a arbitrary variable which defines the net profit earned by copping the 4 truck tickets. There are 2 possibilities-20when person doesn't win the prize and 130when person wins the prize.

03

:Explanation of Solution

(C)

Interpretation :Xcan take only 2 values-20and 130 because there are 2 possibilities-20when person does not win the prize and 130 when person wins the prize.

04

:Explanation of Solution 

(D).

Interpretation: Xcan take only 2 values-20and 130 because there are 2 possibilities -20when person does not win the prize and 130when person wins the prize. To get probabilities we have used the formula P(X=x)=n!x!(n-x)!px(1-p)n-x

05

:Explanation of Solution 

(E).

XP(x)X.P(x)
-20
role="math" localid="1648576197570" P(X=-20)=4!0!(100-0)!11000991004=0.96-19.2
130
role="math" localid="1648576225178" P(X=130)=4!0!(100-1)!11000991003=0.04
5.2
TOTAL1-14

Interpretation:

The expected average earning is -14which we have got by using the formula.E(x)=[x.P(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 91影视!

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

A trainer is teaching a dolphin to do tricks. The probability that the dolphin successfully performs the trick is 35%, and the probability that the dolphin does not successfully perform the trick is 65%. Out of 20 attempts, you want to find the probability that the dolphin succeeds 12 times. State the probability question mathematically.

Use the following information to answer the next eight 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 theU.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 is the probability that at least two of the freshmen reply鈥测别蝉鈥?

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

The average number of children a Spanish woman has in her lifetime is 1.47. Suppose that one Spanish woman is randomly chosen.

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. Find the probability that she has no children.

e. Find the probability that she has fewer children than the Spanish average.

f. Find the probability that she has more children than the Spanish average .

In words, the random variableX=_________________

a. the number of times Mrs. Plum鈥檚 cats wake her up each week.

b. the number of times Mrs. Plum鈥檚 cats wake her up each hour.

c. the number of times Mrs. Plum鈥檚 cats wake her up each night.

d. the number of times Mrs. Plum鈥檚 cats wake her up.

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.