# Use Bayes theorem to solve

*label*Statistics

*timer*Asked: Jun 5th, 2015

**Question description**

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?