Q. 165.0( 1 Vote )

In a factor

Answer :

Let us assume U1, U2, U3 and A be the events as follows:


U1 = choosing Machine A


U2 = choosing Machine B


U3 = choosing Machine C


A = Producing a defective output


From the problem:





P(A|U1) = P(Producing defective output from Machine A)



P(A|U2) = P(Producing defective output from Machine B)



P(A|U3) = P(Producing defective output from Machine C)



Now we find


P(U2|A) = P(The found defective item is produced by Machine B)


Using Baye’s theorem:







The required probability is .


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