Q. 204.5( 2 Votes )

A factory h

Answer :


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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