SOLUTION: Factories A and B produce computers. Factory A produces 3 times as many computers as factory B. The probability that an item produced by factory A is defective is 0.024 and the pro

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Question 1133368: Factories A and B produce computers. Factory A produces 3 times as many computers as factory B. The probability that an item produced by factory A is defective is 0.024 and the probability that an item produced by factory B is defective is 0.038.
A computer is selected at random and it is found to be defective. What is the probability it came from factory A?
Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
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This probability is the ratio of two numbers:


    - the numerator is the number of defective computers produced by Factory A.


    - the denominator is the total number of defective computers produced by both factories.


    P = %280.024%2A%283x%29%29%2F%280.024%2A%283x%29+%2B+0.038%2Ax%29 = cancel x in the numerator and in the denominator = %280.024%2A3%29%2F%280.024%2A3+%2B+0.038%29 = use your calculator.