SOLUTION: A manufacturer has 3 machines B1,B2 and B3, make 35%, 40% and 25%, respectively, of the products. It is known from past experience that 2%, 3% and 1% of the products made by each

Question 867197: A manufacturer has 3 machines B1,B2 and B3, make 35%, 40% and 25%, respectively, of the products. It is known from past experience that 2%, 3% and 1% of the products made by each machine respectively are defective. If a finished product is randomly selected:

What is the probability that it is defective?
What is the probability that it is not defective?
If the product is defective, what is the probability it was made by machineB_3?

If the product is not defective, what is the probability that it was made by machineB_1?

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
one product chosen
P(def) =
P(not def) = 1 - P(def) = .9893
P(B3 |def) = .0025/.0107
P(B1 |not def) =
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