/*! 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. 52 Reading the paper In a large bus... [FREE SOLUTION] | 91影视

91影视

Reading the paper In a large business hotel, 40% of guests read the Los Angeles Times. Only 25% 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?

a. Make a Venn diagram to display the outcomes of this chance process using events L:reads the Los Angeles Times and W: reads the Wall Street Journal.

b. Find PLCW.

Short Answer

Expert verified

(a) The Venn diagram is

.

(b) The value of PLCWis0.20.

Step by step solution

01

Part (a) Step 1: Given Information

We are given the values of the probability of guest reading the Los Angeles Times and guest reading Wall Street Journals, and we have to make a Venn diagram to show the probability of guest reading any one of the newspapers.

02

Part (a) Step 2: Explanation

According to the question,

The probability of a guest reading the Los Angeles Times is0.40, probability of a guest reading Wall Street journals is0.25, and those who have both is0.05.

A Venn diagram shows the probability of reading any one of the newspapers.

03

Part (b) Step 1: Given Information

We are given the values of the probability of guest reading the Los Angeles Times and the Wall Street Journals, and we have to find out the value ofPLCW.

04

Part (b) Step 2: Explanation

To find out the value of the given probability, we required the probability of a guest not reading the Los Angeles Times1-0.40=0.60, which is, and the probability of a guest reading the Wall Street Journal0.25, which is, and the probability of a guest reading not the Los Angeles Times but Wall Street is0.25+0.40=0.65.

Now, apply the union rule of probability,

which isPAB=P(A)+P(B)+P(AB)

We getPLCW=0.60+0.25-0.65=0.20.

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

Color-blind men About 7% of men in the United States have some form of red-green color blindness. Suppose we randomly select one U.S. adult male at a time until we find one who is red-green color-blind. Should we be surprised if it takes us 20 or more men? Describe how you would carry out a simulation to estimate the probability that we would have to randomly select 20 or more U.S. adult males to find one who is red-green color blind. Do not perform the simulation.

Body image A random sample of 1200U.S. college students was asked, 鈥淲hat is your perception of your own body? Do you feel that you are overweight, underweight, or about right?鈥 The two-way table below summarizes the data on perceived body image by gender.

Suppose we randomly select one of the survey respondents.

a. Given that the person perceived his or her body image as about right, what鈥檚 the

probability that the person is female?

b. If the person selected is female, what鈥檚 the probability that she did not perceive her body image as overweight?

When did you leave? The National Household Travel Survey gathers data on the time of day when people begin a trip in their car or other vehicle. Choose a trip at random and record the time at which the trip started. Here is an assignment of probabilities for the outcomes :

a. What probability should replace 鈥?鈥 in the table? Why?

b. Find the probability that the chosen trip did not begin between 9A.M. and 12:59P.M.

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.

Ten percent of U.S. households contain 5or more people. You want to simulate choosing a household at random and recording 鈥淵es鈥 if it contains 5or more people. Which of these is a correct assignment of digits for this simulation?

a.Odd=Yes;Even=No

b.0=Yes;19=No

c.05=Yes;69=No

d.04=Yes;59=No

e. None of these

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.