A company uses three different assembly lines—A1, A2,and A3—to manufacture a particular component. Of thosemanufactured by line A1, 5% need rework to remedy adefect, whereas 8% of A2’s components need rework and10% of A3’s need rework. Suppose that 50% of all componentsare produced by line A1, 30% are produced byline A2, and 20% come from line A3. If a randomlyselected component needs rework, what is the probabilitythat it came from line A1? From line A2? From line A3?

A company uses three different assembly lines—A1, A2,and A3—to manufacture a particular component. Of thosemanufactured by line A1, 5% need rework to remedy adefect, whereas 8% of A2’s components need rework and10% of A3’s need rework. Suppose that 50% of all componentsare produced by line A1, 30% are produced byline A2, and 20% come from line A3. If a randomlyselected component needs rework, what is the probabilitythat it came from line A1? From line A2? From line A3?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 28EQ

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