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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 


Options:
A .  0.288
B .  0.334
C .  0.667
D .  0.720
Answer: Option B

                         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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