Why the answer is not a) 0.288
I think this calculation is suitable when we have given in question
The probability that a randomly chosen reliable shock absorber, which is found to be reliable, is made by Y is
but in the question they have asked:-
The probability that a randomly chosen shock absorber, which is found to be reliable, is made by Y is
Means among randomly choosen (whether it could be reliable or unreliable or whether it is of X or of Y).
So the denomenator part should be calculated as:-
0.6*0.96 (from x and reliable)+ 0.6*0.04(x and unreliable) + 0.4*0.72(from y and reliable) + 0.4*0.28(from y and unreliable)
which is equal to 1
and Numerator as 0.4*0.72(from y and reliable)
which is 0.288
what is wrong in this.??