An information technology company produces 48% 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 0.9% 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?

Question

Business

Amare Rogers

31 August, 03:41

An information technology company produces 48% 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 0.9% 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?

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Kaylin Burgess · Answer 1

The probability that a randomly chosen computer chip produced by this company is defective and was produced in st. louis is 0.009

Explanation:

Let the total number of computer chips = x

St. Louis = 48 % of x = 0.48x

Chicago = 52% of x = 0.52x

Defective in st. Louis = 0.9 % of 0.48x

Defective in Chicago = 0.9% of 0.52x

Probability of chip is defective and was from st louis, P = ?

P = Defective in St. Louis / Number of chips made in St. Louis

P = 0.9 % of 0.48x / 0.48x

P = 0.009

Therefore, the probability that a randomly chosen computer chip produced by this company is defective and was produced in st. louis is 0.009