APFIVE Conditional Probability of a Defective Component
A company manufactures components in three factories: A, B, and C. Factory A produces 50% of all components with a 2% defect rate. Factory B produces 30% with a 3% defect rate. Factory C produces 20% with a 5% defect rate. If a component is selected at random and found to be defective, what is the probability it came from Factory C?
A
0.40
B
0.33
C
0.20
D
0.05
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