A factory has two machines producing screws: Machine 1 produces of all screws and has a defect rate of , while Machine 2 produces of all screws and has a defect rate of . What is the overall percentage of defective screws produced by the factory?
Answer and explanation
Correct answer: C.
- Step 1: Apply the law of total probability: . **Answer: . Why not the others:** is the unweighted average , is too low, and weights the machines in reverse.
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