Conditional Probabilityhard
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Two machines, A and B, produce components. Machine A produces 60% of total output with a 1% defect rate, and Machine B produces 40% with a 4% defect rate. A quality control process flags 90% of defective items and 2% of non-defective items. If a component is flagged, what is the probability it came from machine A?
Two machines, A and B, produce components. Machine A produces 60% of total output with a 1% defect rate, and Machine B produces 40% with a 4% defect rate. A quality control process flags 90% of defective items and 2% of non-defective items. If a component is flagged, what is the probability it came from machine A?