/*! 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. 48 Reading the paper In a large bus... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q. 48 (page 328)

Reading the paper In a large business hotel, 40%of guests read the Los Angeles Times. Only read the Wall Street Journal. Five percent of guests read both papers. Suppose we select a hotel guest at random and record which of the two papers the person reads, if either. What鈥檚 the probability that the person reads the Los Angeles Times or the Wall Street Journal?

Short Answer

Expert verified

60percent of the time, the person will read one of the two newspapers.

Step by step solution

01

Given Information

We have to determine probability that the person reads the Los Angeles Times or the Wall Street Journal .

02

Simplification

The Los Angeles Times is read by 40%of the guests.
The Wall Street Journal is read by 25%of the guests.
Only 5%of the visitors read both newspapers.
If there are two events, rule of thumb for addition:

P(A鈭B)=P(A)+P(B)鈭P(A鈭B)

Now,
The person's likelihood of reading the Los Angeles Times,
P(LAT)=40%=0.40

Probability that the person reads Wall Street Journal ,

鈥冣赌價ole="math" localid="1654013332190" P(WSJ)=25%=0.25

Probability that the person reads both the newspapers,

鈥冣赌P(LAT鈭WSJ)=5%=0.05

Then,

P(LAT鈭WSJ)=P(LAT)+P(WSJ)鈭P(LAT鈭WSJ)鈥P(LAT鈭WSJ)=0.40+0.25鈭0.05鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥=0.60鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥=60%

Therefore,
There is a 60%chance that the person reads the Los Angeles Times or the Wall Street Journal.

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

Liar, liar! Sometimes police use a lie detector test to help determine whether a suspect is

telling the truth. A lie detector test isn鈥檛 foolproof鈥攕ometimes it suggests that a person is

lying when he or she is actually telling the truth (a 鈥渇alse positive鈥). Other times, the test

says that the suspect is being truthful when he or she is actually lying (a 鈥渇alse negative鈥).

For one brand of lie detector, the probability of a false positive is 0.08.

a. Explain what this probability means.

b. Which is a more serious error in this case: a false positive or a false negative? Justify

your answer.

Matching suits A standard deck of playing cards consists of 52 cards with 13 cards in each of four suits: spades, diamonds, clubs, and hearts. Suppose you shuffle the deck thoroughly and deal 5 cards face-up onto a table.

a. What is the probability of dealing five spades in a row?

b. Find the probability that all 5 cards on the table have the same suit.

Languages in Canada Canada has two official languages, English and French. Choose a Canadian at random and ask, 鈥淲hat is your mother tongue?鈥 Here is the distribution of responses, combining many separate languages from the broad Asia/Pacific region

a. Explain why this is a valid probability model.

b. What is the probability that the chosen person鈥檚 mother tongue is not English?

c. What is the probability that the chosen person鈥檚 mother tongue is one of Canada鈥檚 official languages?

Tossing coins Imagine tossing a fair coin 3times.

a. Give a probability model for this chance process.

b. Define event B as getting more heads than tails. Find P(B).

The partially complete table that follows shows the distribution of scores on the AP庐

Statistics exam for a class of students.

Select a student from this class at random. If the student earned a score of 3 or higher

on the AP庐 Statistics exam, what is the probability that the student scored a 5?

a.0.150b.0.214c.0.300d.0.428e.0.700
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Mechanics Maths

Read Explanation

Applied Mathematics

Read Explanation

Logic and Functions

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.