SOLUTION: in a factory , two machines M1 and M2 manufacture 60% and 40 % of the auto components respectively . Out of the total production, 2% of M1 and 3% of M2 are found to be defective. I

Question 1015113: in a factory , two machines M1 and M2 manufacture 60% and 40 % of the auto components respectively . Out of the total production, 2% of M1 and 3% of M2 are found to be defective. If a randomly drawn auto component from the combined lot is found defective, what is the probability that it was manufactured by M2. ??
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Make a table
Suppose 1000 are made
M=====Good==Bad===Number
M1====588===12====600
M2====388===12====400
Total=976===24====1000
If you find a defective component, there is a 50% chance it came from M2.

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