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An automobile plant contracted to buy shock absorbers from two suppliers X and Y. X supplies 60% and V 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
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- 0.288
- 0.334
- 0.667
- 0.720
- 0.288
Correct Option: B
X | Y | |
Supply | 60% | 40% |
Reliable | 96% | 72% |
Overall | 0.576 | 0.228 |
∴ P(X) = | = 0.334 | |
0.576 + 0.288 |