/*! 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 84. Urban voters The voters in a lar... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q 84. (page 330)

Urban voters The voters in a large city are 40%white, 40%black, and 20%Hispanic. (Hispanics may be of any race in official statistics, but here we are speaking of political blocks.) A mayoral candidate anticipates attracting 30%of the white vote, 90%of the black vote, and 50%of the Hispanic vote. Draw a tree diagram to represent this situation. What percent of the overall vote does the candidate expect to get? Use the four-step process to guide your work.

Short Answer

Expert verified

The probability of support for each political book is 58%

Step by step solution

01

Step 1. Given Information

In a major city, 40 percent of white voters, 40 percent black voters, and 20% Hispanic voters make up the voting population.

02

Step 2. Concept Used

Conditional probability: P(A鈭�B)=P(A/B)脳P(B)

03

Step 3. Calculation

The tree diagram is shown below, according to the question:

Now we must determine the likelihood of support for each political book.

P(white鈭�Support)=P(Support/white)脳P(white)=40%脳30%=0.40脳0.30=0.12P(Black鈭�Support)=P(Support/Black)脳P(Black)=40%脳30%=0.40脳0.90=0.36

P(Hispanic鈭�Support)=P(Support/Hispanic)脳P(Hispanic)=20%脳50%

Fill in the blanks with the corresponding probabilities:

P(Support)=0.1200+0.3600+0.1000=0.5800=58%

As a result, any political book has a 58% chance of being supported.

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

Preparing for the GMAT A company that offers courses to prepare students for the Graduate Management The admission Test (GMAT) has the following information about its customers: 20% are currently undergraduate students in business; 15% are undergraduate students in other fields of study; 60% are

college graduates who are currently employed, and 5% are college graduates who are not employed. Choose a customer at random.

(a) What鈥檚 the probability that the customer is currently an undergraduate? Which rule of probability did you use to find the answer?

(b) What鈥檚 the probability that the customer is not an undergraduate business student? Which rule of probability did you use to find the answer?

Who eats breakfast? Refer to Exercise 68. Are events B and M independent? Justify your answer.

Fill 鈥檈rr up! In a recent month, 88%of automobile drivers filled their vehicles with regular gasoline, 2%purchased midgrade gas, and 10%bought premium gas.17 Of those who bought regular gas, 28% paid with a credit card; of customers who bought midgrade and premium gas, 34% and 42%, respectively, paid with a credit card. Suppose we select a customer at random.

Draw a tree diagram to represent this situation. What鈥檚 the probability that the customer paid with a credit card? Use the four-step process to guide your work.

Say in plain language what the event鈥�AorB鈥�is.WhatisP(AorB)?

Scrabble Refer to Exercise 20. About 3% of the time, the first player in Scrabble can 鈥渂ingo鈥� by playing all 7 tiles on the first turn. How many games

of Scrabble would you expect to have to play, on average, for this to happen? Design and carry out a simulation to answer this question. Follow the four step

process.
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Statistics

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

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.