Question
An automobile plant contracted to buy shock absorbers from two suppliers X and Y. X supplies
60% and Y supplies 40% of the shock absorbers. All shock absorbers are subjected to a quality
test.
The ones that pass the quality test are considered reliable Of X's shock absorbers, 96% are
reliable.
Of Y's shock absorbers, 72% are reliable.
The probability that a randomly chosen shock absorber, which is found to be reliable, is made by
Y is
Answer: Option B
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x y
Supply 60% 40%
Reliable 96% 72%
Overall 0.576 0.288
`:.` P(x) = `(0.288)/(0.576 + 0.288)` = 0.334
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