Suppose that a factory has two machines, Machine A and Machine B, both producing Phone touch screens. 40% of their touch screens come from Machine A and 60% of their touch screens come from Machine B. 10% of the touch screens produced by Machine A are defective and 5% of the touch screens from Machine B are defective. If randomly touch screen has been chosen and it is defective, what is the probability that it came from machine A?

Suppose that a factory has two machines, Machine A and Machine B, both producing Phone touch screens. 40% of their touch screens come from Machine A and 60% of their touch screens come from Machine B. 10% of the touch screens produced by Machine A are defective and 5% of the touch screens from Machine B are defective. If randomly touch screen has been chosen and it is defective, what is the probability that it came from machine A?

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter17: Markov Chains

Section17.6: Absorbing Chains

Problem 7P

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Suppose that a factory has two machines, Machine A and Machine B, both producing Phone touch screens. 40% of their touch screens come from Machine A and 60% of their touch screens come from Machine B. 10% of the touch screens produced by Machine A are defective and 5% of the touch screens from Machine B are defective. If randomly touch screen has been chosen and it is defective, what is the probability that it came from machine A? (Show your work)
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