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+1 vote
2.2k views
in Mathematics by (68.5k points)

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. 11/39

c. 20/39

d. 34/39

1 Answer

+2 votes
by (45.7k points)
selected by
 
Best answer

Correct option a. 5/39

Explanation:

Required probability

= (25 x 2)/(25 x 2 + 35 x 4 + 40 x 5) = 5/39

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