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# A company uses three different assembly lines—A1,A2, and ISBN: 9780321629111 32

## Solution for problem 104E Chapter 2

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

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Problem 104E

A company uses three different assembly lines—?A?1,?A?2, and ?A?3—to manufacture a particular component. Of those manufactured by line ?A?1, 5% need rework to remedy a defect, whereas 8% of ?A?2’s components need rework and 10% of ?A?3’s need rework. Suppose that 50% of all components are produced by line ?A?1, 30% are produced by line ?A?2, and 20% come from line ?A?3. If a randomly selected component needs rework, what is the probability that it came from line ?A?1? From line ?A?2? From lin? ?3?

Step-by-Step Solution:

Answer Step 1 of 5 P(A1)=0.5 P(A2)=0.3 P(A3)=0.2 Step 2 of 5 D is the event component needs rework P(D/A1)=0.05 P(D/A2)=0.08 P(D/A3)=0.1 Step 3 of 5 The probability that it came from line A1 P(DA1) = P(D|A1)P(A1) =0.05(0.5)=0.025

Step 4 of 5

Step 5 of 5

##### ISBN: 9780321629111

The answer to “A company uses three different assembly lines—?A?1,?A?2, and ?A?3—to manufacture a particular component. Of those manufactured by line ?A?1, 5% need rework to remedy a defect, whereas 8% of ?A?2’s components need rework and 10% of ?A?3’s need rework. Suppose that 50% of all components are produced by line ?A?1, 30% are produced by line ?A?2, and 20% come from line ?A?3. If a randomly selected component needs rework, what is the probability that it came from line ?A?1? From line ?A?2? From lin? ?3?” is broken down into a number of easy to follow steps, and 85 words. The full step-by-step solution to problem: 104E 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: line, rework, need, produced, component. This expansive textbook survival guide covers 18 chapters, and 1582 solutions. 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. Since the solution to 104E from 2 chapter was answered, more than 359 students have viewed the full step-by-step answer.

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