SOLUTION: A large industrial firm uses three different warehouses (A, B, and C) to store its manufactured product. From past records, it is known that 20% of the manufactured product are as

Question 1093084: A large industrial firm uses three different warehouses (A, B, and C) to store its manufactured product. From past records, it is known that 20% of the manufactured product are assigned to warehouse A, 50% are assigned to B, and 30% to warehouse C.
a. If it is known that 5% of the product in the warehouse A are defective, 4% in warehouse B are defective, and 8% in warehouse C are defective, what is the probability that if the product is selected at random from one of these warehouses that it will be defective?
b. What is the probability that if a defective product is selected at random that it came from warehouse C?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Take 1000 product
============A===B====C===Total
Defects======10==20===24====54
No defects===190==480==276==946
Total========200==500==300==1000
There are 54 of 1000 defective so the answer to a is 5.4%
If it is defective (54), 24 came from C, so that is 24/54 or 4/9 or 44.4%, answer to b.

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