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Given that P(A ? B) = 0.76 and P(A ? B' ) = 0.87, find

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 7E Chapter 1.1

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

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Problem 7E

PROBLEM 7E

Given that P(A B) = 0.76 and P(A B' ) = 0.87, find P(A).

Step-by-Step Solution:

Answer :

Step 1 of 1 :

Given,

P(AB) = 0.76 and  P() = 0.87

The claim is to find the value of P(A)

Where,

P() = 1 - P(B) + P()  = 0.87

0.87 = 1 - P(B) + P()

P(B) + P() = 1 - 0.87

Therefore, P(B) - P() = 0.13

We know that

P(AB) = P(A) + P(B) -  P()

Where, P(A) = P(AB) - ( P(B) -  P())

We have ,  P(AB) = 0.76 and P(B) -  P() = 0.13

Substitute the values in above equation

Then we get

P(A) = 0.76 - 0.13

         = 0.63

Hence, P(A) = 0.63

Step 2 of 1

Chapter 1.1, Problem 7E is Solved
Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

The full step-by-step solution to problem: 7E from chapter: 1.1 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM. This full solution covers the following key subjects: Find, given. This expansive textbook survival guide covers 59 chapters, and 1476 solutions. The answer to “Given that P(A ? B) = 0.76 and P(A ? B' ) = 0.87, find P(A).” is broken down into a number of easy to follow steps, and 16 words. This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9. Since the solution to 7E from 1.1 chapter was answered, more than 393 students have viewed the full step-by-step answer. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271.

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Given that P(A ? B) = 0.76 and P(A ? B' ) = 0.87, find