Q. 204.5( 2 Votes )

A factory h

Answer :

Given:


Machine A produce 100 items


Machine B produce 200 items


Machine C produce 300 items


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 defective item by machine





From the problem


P(A|U1) = P(Producing defective item by Machine A)



P(A|U2) = P(Producing defective item by Machine B)



P(A|U3) = P(Producing defective item by Machine C)



Now we find


P(U1|A) = P(The chosen defective item is produced by machine A)


Using Baye’s theorem:







The required probability is .


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