SOLUTION: A manufacturer has 3 machines b1 , b2 and b3 , make 35٪ , 40% ,25%, respectively , of the products. It is known from past experience that 2% , 3% and 1% of the products made

Algebra ->  Probability-and-statistics -> SOLUTION: A manufacturer has 3 machines b1 , b2 and b3 , make 35٪ , 40% ,25%, respectively , of the products. It is known from past experience that 2% , 3% and 1% of the products made       Log On


   



Question 867208: A manufacturer has 3 machines b1 , b2 and b3 , make 35٪ , 40% ,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
a.what is the probability that it is defective ?
b.what is the probability that it is not defective ?
c.if the product is defective , what is the probability it was made by machine b3?
d.if the product is not defective , what is the probability that it was made by machine b1 ?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
A Previously Posted Solution
one product chosen
P(def) = .02%2A.35+%2B+.03%2A.40+%2B+.01%2A.25+=+.007+%2B+.0012+%2B+.0025+=+.0107
P(not def) = 1 - P(def) = .9893
P(B3 |def) = .0025/.0107
P(B1 |not def) = .98%2A.35++%2F.9893