A factory has machines A and B producing 40% and 60% items. Defect rates are 1% and 3%. Probability that a defective item came from A is:
A factory has machines A and B producing 40% and 60% items. Defect rates are 1% and 3%. Probability that a defective item came from A is:
- A. 2/11
- B. 3/11
- C. 4/11
- D. 6/11
Answer: A) 2/11
Explanation: Bayes theorem: (0.4×0.01)/(0.4×0.01+0.6×0.03)=2/11.
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