Which machine made the defect?
Machine A makes 60% of widgets at a 2% defect rate; machine B makes 40% at a 5% defect rate. A randomly chosen widget is defective. What is the probability it came from machine A? Give a decimal to four places.
Show hints (2)+
- Compute each joint probability (machine ∩ defective).
- Bayes: divide A's joint by the total defect probability.
Answer
Reveal answer →Final answer
0.375 (± 0.001)
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