SOLUTION: Shirt are being produced in a frim by three productions lines. Line A produced 50% shirts of which 4% are defective. Line B produced 30% of which 2% are defective. Line C produced

Question 1130744: Shirt are being produced in a frim by three productions lines. Line A produced 50% shirts of which 4% are defective. Line B produced 30% of which 2% are defective. Line C produced 20% of which 1% are defective.
(A) what is the percentage of defective shirts produced by the frim?
(B) if a shirt is taken as a sample , and is found to be defective, what is the probability that it was produced by line B ?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Use 1000 shirts A======B======C======total
non-def---------480----294---198----972
def--------------20------6----2------28
Total 500----300---200---1000
percentage defective is 2.8%, or 28/1000
Also 4%(.5)+2%(.3)+1%(.2)
if defective, from line would be 6/28 or 21.4%
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