×
Log in to StudySoup
Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 2 - Problem 73e
Join StudySoup for FREE
Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 2 - Problem 73e

Already have an account? Login here
×
Reset your password

If A and B are independent events, show that A_ and B are

Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye ISBN: 9780321629111 32

Solution for problem 73E Chapter 2

Probability and Statistics for Engineers and the Scientists | 9th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye

Probability and Statistics for Engineers and the Scientists | 9th Edition

4 5 1 315 Reviews
23
3
Problem 73E

If ?A ?and ?B ?are independent events, show that ?A?_ and ?B ?are also independent. [?Hint: ?First establish a relationship between P(A ’?B), P(B), and P(A?B).]

Step-by-Step Solution:

Answer: Step 1 of 1 By definition, A and B independent P(A B) = P(A)P(B). But B = (A B) + (A B) So P(B) = P(A B) + P(A B)1 which yields P(A B) = P(B) - P (A B) = P(B) - P(A) P(B) [since A and B are independent] = P(B)(1 - P(A)) 1 = P(B)P(A ) Therefore, A and B are independent.

Step 2 of 1

Chapter 2, Problem 73E is Solved
Textbook: Probability and Statistics for Engineers and the Scientists
Edition: 9
Author: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye
ISBN: 9780321629111

This textbook survival guide was created for the textbook: Probability and Statistics for Engineers and the Scientists, edition: 9. Since the solution to 73E from 2 chapter was answered, more than 368 students have viewed the full step-by-step answer. The answer to “If ?A ?and ?B ?are independent events, show that ?A?_ and ?B ?are also independent. [?Hint: ?First establish a relationship between P(A ’?B), P(B), and P(A?B).]” is broken down into a number of easy to follow steps, and 26 words. Probability and Statistics for Engineers and the Scientists was written by and is associated to the ISBN: 9780321629111. The full step-by-step solution to problem: 73E from chapter: 2 was answered by , our top Statistics solution expert on 05/06/17, 06:21PM. This full solution covers the following key subjects: independent, hint, Events, establish, also. This expansive textbook survival guide covers 18 chapters, and 1582 solutions.

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

If A and B are independent events, show that A_ and B are