First factory produces 45% of details, second 20%, third factory 35% of details. First factory has 3% defective details, second 9%, third 4% correspondingly. Randomly selected detail is defective. What is the probability detail was produced by the second factory?

First factory produces 45% of details, second 20%, third factory 35% of details. First factory has 3% defective details, second 9%, third 4% correspondingly. Randomly selected detail is defective. What is the probability detail was produced by the second factory?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

First factory produces 45% of details, second 20%, third factory 35% of
details. First factory has 3% defective details, second 9%, third 4%
correspondingly. Randomly selected detail is defective. What is the
probability detail was produced by the second factory?

Expert Solution

Step 1

HERE THREE FACTORY PRODUCE DETAILS AND SOME ARE DEFECTIVE..

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