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# Show that if A1, A2, and A3 are independent events, then

ISBN: 9780321629111 32

## Solution for problem 114E Chapter 2

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

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Problem 114E

Show that if ?A?1, ?A?2, and ?A?3 are independent events, then ?P?(?A?1 | ?A?2 ??A?3) 5 P?(A1?).

Step-by-Step Solution:

Answer : Step 1 of 2 : Given, A , A and A are independent events 1 2 3 The claim is to prove P( A /A A ) = P(A ) 1 2 3 1 Let, P(A 1A ) =2P(A ) P(A 1 2 P(A A ) = P(A ) P(A ) 1 3 1 3 P(A A ) = P(A ) P(A ) 2 3 2 3 P(A 1A A2) = P3A ) P(A )1P(A ) 2 3

Step 2 of 2

##### ISBN: 9780321629111

Probability and Statistics for Engineers and the Scientists was written by and is associated to the ISBN: 9780321629111. This textbook survival guide was created for the textbook: Probability and Statistics for Engineers and the Scientists, edition: 9. The answer to “Show that if ?A?1, ?A?2, and ?A?3 are independent events, then ?P?(?A?1 | ?A?2 ??A?3) 5 P?(A1?).” is broken down into a number of easy to follow steps, and 17 words. The full step-by-step solution to problem: 114E 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: Events, independent, show. This expansive textbook survival guide covers 18 chapters, and 1582 solutions. Since the solution to 114E from 2 chapter was answered, more than 371 students have viewed the full step-by-step answer.

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