Q40Section I (Objective (Q1–Q80))40 of 80
Probability — bayes' theorem for the source of a defective item
A company produces light bulbs at three factories A, B and C. Factory A produces 40% of the total number of bulbs, of which 2% are defective. Factory B produces 35% of the total number of bulbs, of which 4% are defective. Factory C produces 25% of the total number of bulbs, of which 3% are defective. If a defective bulb is found among the total output, then what is the probability that it was from factory A?
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