Question 1008366: An information technology company produces 44% of its computer chips at a plant in St. Louis and the remainder of its chips at a plant in Chicago. It is known that 0.75% of the chips produced in St. Louis are defective, while 0.95% of the chips produced at the plant in Chicago are defective. What is the probability that a randomly chosen computer chip produced by this company is defective and was produced in St. Louis?
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Let's say there are 100,000 chips total
44% of the chips are made in St. Louis, so 0.44*100,000 = 44,000 chips are made in St. Louis
The remaining 100,000 - 44,000 = 56,000 chips are made in Chicago.
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" 0.75% of the chips produced in St. Louis are defective" which means (0.75/100)*44,000 = 330 chips are defective at the St. Louis plant.
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There are 330 chips that are defective AND that are produced at the St. Louis plant
This is out of 100,000 chips total
Divide the two values: 330/100,000 = 0.0033
= 0.33%
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Question: What is the probability that a randomly chosen computer chip produced by this company is defective and was produced in St. Louis?
Answer: 0.33%
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