A company manufacturing electronic components for home entertainment systems buys electrical connectors from three suppliers. The company prefers to use supplier A because only 1% of those connectors...

Extracted text: A company manufacturing electronic components for home entertainment systems buys electrical connectors from three suppliers. The company prefers to use supplier A because only 1% of those connectors are defective, but supplier A can only deliver 70% of the connectors needed. The company must also purchase connectors from two other suppliers: 20% are from supplier B, and the rest from supplier C. The rate of defective connectors from B is 2%, and the rate from C is 4%. a. What is the probability that you receive a non-defective connector? b. You buy one of these components and find that it is defective. What is the probability that your component came from supplier A?