Answered: If a randomly selected component needs…

If a randomly selected component needs rework, what is the probability that it came from line Al? From line A2? From line A3?

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

round off answer to 4 decimal

A company uses three different assembly lines--A1, A2, and 43- to manufacture a particular
component. Of those manufactured by line 41, 8% need rework to remedy a defect, whereas
10% of 42's components need rework and 5% of 43's need rework. Suppose that 40% of all
components are produced by line Al, 35% are produced by line 42, and 25% come from line A3.
If a randomly selected component needs rework, what is the probability that it came from line
Al? From line A2? From line A3?

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