/*! 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} R5.5 - Review Exercises 2Drive to exercise : The two-way... [FREE SOLUTION] | 91影视

91影视

Chapter 5: R5.5 - Review Exercises (page 356)

2Drive to exercise : The two-way table summarizes the responses of 120 people to a survey in which they were asked, 鈥淒o you exercise for at least 30 minutes four or more times per week?鈥 and 鈥淲hat kind of vehicle do you drive?鈥

ExerciseSedanSUVTruck
Yes251512
No202424

Suppose one person from this sample is randomly selected.

a. Find the probability that the person drives an SUV.

b. Find the probability that the person drives a sedan or exercises for at least 30 minutes four or more times per week.

c. Find the probability that the person does not drive a truck, given that she or he exercises for at least 30 minutes four or more times per week.

Short Answer

Expert verified

(a) Probability that the person drives an SUV is 0.325.

(b)The probability that the person drives a sedan or exercises for at least 30 minutes four or more times per week is 0.6.

(c)The probability that the person does not drive a truck, given that she or he exercises for at least 30 minutes four or more times per week is 0.33.

Step by step solution

01

Part (a) - Step 1 : Given Information

We are given three different vehicles and if a person exercises or not . We need to find if the person drives an SUV .

ExerciseSedanSUVTruck
Yes25
1512
No202424
02

Part (a) - Step 2 : Explanation

We need to find the total and divide favorable outcome by total outcomes in order to achieve the probability .

ExerciseSedanSUVTruckTotal
Yes2515
1252
No20242468
Total453936120

So, probability (person drives an SUV ) =39120

=0.325

03

Part (b) - Step 1 : Given Information 

We are given three different vehicles and if a person exercises or not . We need to find the probability that the person drives a sedan or exercises for at least 30 minutes four or more times per week.

04

Part (b) - Step 2 : Explanation

We need to add probability of both the cases .

Probability (person drives a sedan or exercises for at least 30 minutes four or more times per week)=Probability (person drives a sedan) +Probability (sedan in total ) -Probability (yes in exercise)

Required probability=45120+52120-25120=72120=0.6

05

Part (c) - Step 1 : Given Information 

We are given different vehicles and if a person exercises or not. We need to find the probability that the person does not drive a truck, given that she or he exercises for at least 30 minutes four or more times per week .

06

Part (c) - Step 2 : Explanation 

Required Probability=25120+15120=40120=0.33

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

What is the probability that the person owns a Dodge or has four-wheel drive?

a.20/80b.20/125c.80/125d.90/125e.110/125

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.

An athlete suspected of using steroids is given two tests that operate independently of each other. Test A has probability 0.9of being positive if steroids have been used. Test B has probability 0.8of being positive if steroids have been used. What is the probability that neither test is positive if the athlete has used steroids?

a. 0.08

b. 0.28

c. 0.02

d. 0.38

e. 0.72

Middle school values Researchers carried out a survey of fourth-, fifth-, and sixth-grade students in Michigan. Students were asked whether good grades, athletic ability, or being popular was most important to them. The two-way table summarizes the survey data.

Suppose we select one of these students at random. What鈥檚 the probability of each of the following?

a. The student is a sixth-grader or rated good grades as important.

b. The student is not a sixth-grader and did not rate good grades as important.

Preparing for the GMAT A company that offers courses to prepare students for the Graduate Management Admission Test (GMAT) has collected the following information about its customers: 20%are undergraduate students in business, 15%are undergraduate students in other fields of study, and 60%are college graduates who are currently employed. Choose a customer at random.

a. What must be the probability that the customer is a college graduate who is not currently employed? Why?

b. Find the probability that the customer is currently an undergraduate. Which probability rule did you use to find the answer?

c. Find the probability that the customer is not an undergraduate business student. Which probability rule did you use to find the answer?

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.