SOLUTION: Factories A and B produce all of the computers sold at Cheapo Discount Stores. Factory A produces 4 times as many computers as factory B. The probability that a computer produced b
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Question 1124485: Factories A and B produce all of the computers sold at Cheapo Discount Stores. Factory A produces 4 times as many computers as factory B. The probability that a computer produced by factory A is defective is 0.3 and the probability that one produced by factory B is defective is 0.2.
If a Cheapo computer is selected at random and it is found to be defective, what is the probability it came from factory A?
If a Cheapo computer is selected at random and it is found not to be defective, what is the probability it came from factory B? Answer by ikleyn(52781) (Show Source):
Let assume that factory B produces 100 computers.
Then factory A produces 400 computers, according to the condition.
Of 100 computers produced by B, 20 are defective.
Of 400 computers produced by A, 0.3*400 = 120 are defective.
The probability under the question is = = .
