Question #99865

a company uses 3 machines A,B,C.propotion of products produced by the machine are .2,.48,.22 . the percent defective for each machines is 1% 2% and 3% of their individual output. a defective output is drawn from a days production.what is probability that it was not prpduced by A?.

Expert's answer

Suppose E is the event of getting defected output.

Then from the question, we have:

Now, we need to find the probability that if the bulb is defective then it is not produced by A, that means it is produced by either B or C.

That is, we need to find

Now,

Now, similarly:

So, the probability that the if the output is defected then it was not produced by A will be equal to ,

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