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Amanufacturer has three machine operator...

Amanufacturer has three machine operators A, B and C. The first operator A produces 1% defective items, whereas the other two operators B and C produces 5% and 7% defective items, respectively. A is on the job for 50% of the time, B on the job for 30% of the time and C is on the job for 20% of the time. A defective item is produced, what is the probability that it was produced by A.

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