/*! 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. 36 You are playing a game by drawin... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q. 36 (page 285)

You are playing a game by drawing a card from a standard deck and replacing it.If the card is face card, you win \(30.If it is not face card,you pay \)-2.There are 12face card in a deck of 52cards.Should you play the game?

Short Answer

Expert verified

The value of excepted value is positive ,so we should play the game.

Step by step solution

01

Calculation for probability

Calculate probability:

There are 52cards.

The no of facing card is12.

So,

If the card is face card,

localid="1649793593859" P(x)=totalnooffacingcardtotalnoofcards

P(x)=1252

=0.231

If the card is not facing card,

Number of not facing card is 40.

So,

P(x)=totalnooffacingcardtotalnoofcards

4052

=0.769

The values are shown in following table.

02

Calculation of expected value and needed of game

The value for expected is,

渭=0.231脳30-2脳0.769

=6.93-1.538

=5.392

The value of expected is positive.

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

Use the following information to answer the next five exercises: Suppose that a group of statistics students is divided into two groups: business majors and non-business majors. There are 16business majors in the group and seven non-business majors in the group. A random sample of nine students is taken. We are interested in the number of business majors in the sample.

On average (渭), how many would you expect to be business majors?

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?

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 \(1 to play. If you guess the right suit every time, you get your money back and \)256. What is your expected profit of playing the game over the long term?

P(x=4)= _______

Suppose that the PDF for the number of years it takes to earn a Bachelor of Science (B.S.) degree is given in Table 4.31.

a. In words, define the random variable X.

b. What does it mean that the values zero, one, and two are not included for x in the PDF?
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics Maths

Read Explanation
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.