A factory has three machines producing 30%,40%,30% output. Defect rates are 1%,2%,3%. Probability a defective product came from third machine is:
A factory has three machines producing 30%,40%,30% output. Defect rates are 1%,2%,3%. Probability a defective product came from third machine is:
- A. 9/20
- B. 3/10
- C. 1/3
- D. 2/5
Answer: A) 9/20
Explanation: (0.3×0.03)/(0.3×0.01+0.4×0.02+0.3×0.03)=9/20.
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