An information technology company produces 42% 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 0.5% of the chips produced in St. Louis are defective, while 0.9% of the chips produced at the plan 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?
Solution:
We are given that:
42% of computer chips at a plant are produced in St. Louis and 58% of computer chips at a plant are produced in Chicago.
0.5% of the chips produced in St. Louis are defective and 0.9% of the chips produced in Chicago are defective.
Therefore, the probability that a randomly chosen computer chip produced by this company is defective and was produced in St. Louis is:
An information technology company produces 42% of its computer chips at a plant in St. Louis...
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