Logout Open In App
Open In App
Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Chapter 5: Q. T5.3 (page 357)

Which one of the following is true about the events “Owner has a Chevy” and

“Owner’s truck has four-wheel drive”?

a. These two events are mutually exclusive and independent.

b. These two events are mutually exclusive, but not independent.

c. These two events are not mutually exclusive, but they are independent.

d. These two events are neither mutually exclusive nor independent.

e. These two events are mutually exclusive, but we do not have enough information to determine if they are independent.

Short Answer

Expert verified

The correct option is :

c. These two events are not mutually exclusive, but they are independent.

Step by step solution

01

Given information

We have to tell about the events “Owner has a Chevy” and“Owner’s truck has four-wheel drive".

02

Explanation

We know that

  • A total of 125truck owners were asked what type of truck they had and if it had four-wheel drive.
  • The likelihood of the person owning a Dodge or having a four-wheel drive is high.
  • As there are thirty two drivers that own Chevy four-wheel and all 125own four-wheel which implies that events occur at the same time.

Therefore, the given event is not mutually exclusive but independent i.e. option (c) is correct option.

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

If a player rolls a 2,3,or12, it is called craps. What is the probability of getting craps or an even sum on one roll of the dice?

a. 4/36

b. 18/36

c. 20/36

d. 22/36

e. 32/36

If I toss a fair coin five times and the outcomes are TTTTT, then the probability that tails appear on the next toss is

a. 0.5.

b. less than 0.5.

c. greater than 0.5.

d. 0.

e. 1.

Notebook check Every 9weeks, Mr. Millar collects students' notebooks and checks their homework. He randomly selects 4different assignments to inspect for all of the students. Marino is one of the students in Mr. Millar's class. Marino completed 20homework assignments and did not complete 10assignments. He is surprised when Mr. Millar only selects 1assignment that he completed. Should he be surprised? To find out, we want to design a simulation to estimate the probability that Mr. Millar will randomly select 1or fewer of the homework assignments that Marino completed.

Get 30identical slips of paper. Write "N" on 10 of the slips and "C" on the remaining 20slips. Put the slips into a hat and mix well. Draw 1slip without looking to represent the first randomly selected homework assignment, and record whether Marino completed it. Put the slip back into the hat, mix again, and draw another slip representing the second randomly selected assignment. Record whether Marino completed this assignment. Repeat this process two more times for the third and fourth randomly selected homework assignments. Record the number out of the 4randomly selected homework assignments that Marino completed in this trial of the simulation. Perform many trials. Find the proportion of trials in which Mr. Millar randomly selects 1or fewer of the homework assignments that Marino completed.

Union and intersection Suppose C and D are two events such that P(C)=0.6, P(D)=0.45, and

P(C ∪ D)=0.75. Find P(C ∩ D).

Foreign-language studyChoose a student in grades 9 to 12 at random and ask if he or she is studying a language other than English. Here is the distribution of results:

a. What’s the probability that the student is studying a language other than English?

b. What is the probability that a student is studying Spanish given that he or she is

studying some language other than English?
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Decision Maths

Read Explanation

Geometry

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.

Sign-up for free