SOLUTION: Assume that the factory has two machines. Past records show that Machine 1 produces 30 per cent of the output. 5 percent of the items produced by the Machine 1 were defective and o

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Question 926937: Assume that the factory has two machines. Past records show that Machine 1 produces 30 per cent of the output. 5 percent of the items produced by the Machine 1 were defective and only 1 per cent produced by Machine 2 were defective .If an item selected at random is found to be defective, what is the probability that it was produced by Machine 2.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

   produces   Def   % Def

I   .30       .05      .015

II  .70       .01      .007

Tot                    .022

......

Item selected at random 

P( II  | def) = .01/.022