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

Question

Quizplus · Accepted Answer

P(B|D) = P(D|B) * P(B) / P(D)= 0.02 * 0.33 / (0.03 * 0.20 + 0.02 * 0.33 + 0.05 * 0.47)= 0.183

Use Bayes' Theorem to Find the Indicated Probability