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?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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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?
Transcribed Image 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?
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