Use Bayes' Theorem to Find the Indicated Probability

question 121

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 20% of the connectors from supplier A, 33% from supplier B, and 47% from
Supplier C.
It finds that 3% of the connectors from supplier A are defective, 2% 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) 0.183
• B) 0.02
• C) 0.166
• D) 0.224

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Definitions:

Environmental

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Macrosystem

A term in ecological systems theory referring to the cultural or societal context that influences an individual's development.

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A period of absence from work granted to a mother before and after the birth of her child, also known as maternity leave.