Question

A company manufacturing electronic components for home entertainment systems buys electrical connectors from three suppliers. It buys 26% of the connectors from supplier A, 33% from supplier B, and 41% from supplier C. It finds that 1% of the connectors from supplier A are defective, 4% of the connectors from supplier B are defective, and 3% 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?

Answer 1

Answer:0.469

Step-by-step explanation:

Given

Company buys 26% connector from supplier A

Company buys 33% connector from supplier B

Company buys 41% connector from supplier C

Also 1% connectors of A are defective

4% connectors of B are defective

3% connectors of C are defective

Probability of getting defective Connector$=0.26\times 0.01+0.33\times 0.04+0.41\times 0.03=0.0281$

P(Defective from B|connector is defective)

$=\frac{0.33\times 0.04}{0.26\times 0.01+0.33\times 0.04+0.41\times 0.03=0.0281}=0.496$