In a bolt factory, machines X, Y, Z manufacture bolts that are respectively 25% 35%, and 40% of the factory’s total output. The machines X, Y, Z respectively produce 2%, 4% and 5% defective bolts. A bolt is drawn at random from the product and is found to be defective. What is the probability that it was manufactured by machine X?

In a bolt factory, machines X, Y, Z manufacture bolts that are respect

1.	In a bolt factory, machines X, Y, Z manufacture bolts that are respectively 25% 35%, and 40% of the factory’s total output. The machines X, Y, Z respectively produce 2%, 4% and 5% defective bolts. A bolt is drawn at random from the product and is found to be defective. What is the probability that it was manufactured by machine X?
A.	5/39
B.	14/39
C.	20/39
D.	34/39
Answer» B. 14/39

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