Use Bayes' Theorem to Find the Indicated Probability

question 149

Multiple Choice

Use Bayes' theorem to find the indicated probability.
-A company manufacturing electronic components for home entertainment systems buys electrical connectors from three suppliers. It buys 24% of the connectors from supplier A, 36% from supplier B, and 40% from supplier C.
It finds that 2% of the connectors from supplier A are defective, 4% of the connectors from supplier B are defective, and 5% of the connectors from supplier C are defective.
If a customer buys one of these components and finds that the connector is defective, what is the probability that it came from supplier B?

• A) 0.122
• B) 0.04
• C) 0.367
• D) 0.581

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