Example 8. A factory has three machines X, Y, Z producing 1000,2000 and 3000 bolts per day respectively. Machine X produces 1%defective bolts, Y produces 1.5% and Z produces 2% defective bolts.At the end of a day, a bolt is drawn at random and is founddefective. What is the probability that the defective bolt has beenproduced by machine X.

Example 8. A factory has three machines X, Y, Z producing 1000,2000 an

1.	Example 8. A factory has three machines X, Y, Z producing 1000,2000 and 3000 bolts per day respectively. Machine X produces 1%defective bolts, Y produces 1.5% and Z produces 2% defective bolts.At the end of a day, a bolt is drawn at random and is founddefective. What is the probability that the defective bolt has beenproduced by machine X.
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