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7. A company uses three different assembly lines - A₁, A2, and A3 - to man- ufacture a particular component. Of those manufactured by line A₁, 5% need rework to remedy a defect, whereas 8% of A₂'s components need rework and 10% of A3's need rework. Suppose that 50% of all components are produced by line A₁, 30% are produced by line A2, and 20% come from line A3. If a randomly selected component needs rework, what is the probability that it came from line A₁?

7. A company uses three different assembly lines - A₁, A2, and A3 - to man- ufacture a particular component. Of those manufactured by line A₁, 5% need rework to remedy a defect, whereas 8% of A₂'s components need rework and 10% of A3's need rework. Suppose that 50% of all components are produced by line A₁, 30% are produced by line A2, and 20% come from line A3. If a randomly selected component needs rework, what is the probability that it came from line A₁?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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7. to man- A company uses three different assembly lines A₁, A2, and A3 ufacture a particular component. Of those manufactured by line A₁, 5% need rework to remedy a defect, whereas 8% of A2's components need rework and 10% of A3's need rework. Suppose that 50% of all components are produced by line A₁, 30% are produced by line A2, and 20% come from line A3. If a randomly selected component needs rework, what is the probability that it came from line A₁?
Transcribed Image Text:7. to man- A company uses three different assembly lines A₁, A2, and A3 ufacture a particular component. Of those manufactured by line A₁, 5% need rework to remedy a defect, whereas 8% of A2's components need rework and 10% of A3's need rework. Suppose that 50% of all components are produced by line A₁, 30% are produced by line A2, and 20% come from line A3. If a randomly selected component needs rework, what is the probability that it came from line A₁?
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