A chip company has two manufacturing plants. Plant A produces 40percent% of the chips and Plant B produces 60percent% of the chips produced by the company. The company knows that 2percent% of the chips produced by plant A are defective and 1percent% of the chips produced by plant B are defective. If a randomly chosen chip produced by the company is defective, what is the likelihood that the chip came from plant A? a. 0.02×.4/(.02×.4)+(.01×.6) b. 0.01×.6/(.02×.4)+(.01×.6) c. 0.02×.6/(.02×.6)+(.01×.4) d. 0.01×.4/(.02×.6)+(.01×.4)

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter17: Markov Chains
Section: Chapter Questions
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 A chip company has two manufacturing plants. Plant A produces 40percent% of the chips
and Plant B produces 60percent% of the chips produced by the company. The company knows that 2percent% of the chips produced by plant A are defective and 1percent% of the chips produced by plant B are defective. If a randomly chosen chip produced by the company is defective, what is the likelihood that the chip came from plant A?


a. 0.02×.4/(.02×.4)+(.01×.6)

b. 0.01×.6/(.02×.4)+(.01×.6)

c. 0.02×.6/(.02×.6)+(.01×.4)

d. 0.01×.4/(.02×.6)+(.01×.4) 

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