SOLUTION: Factories A, B and C produce computers. Factory A produces 2 times as many computers as factory C, and factory B produces 7 times as many computers as factory C. The probability th

Question 926430: Factories A, B and C produce computers. Factory A produces 2 times as many computers as factory C, and factory B produces 7 times as many computers as factory C. The probability that a computer produced by factory A is defective is 0.033, the probability that a computer produced by factory B is defective is 0.034, and the probability that a computer produced by factory C is defective is 0.049.
A computer is selected at random and it is found to be defective. What is the probability it came from factory C?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
While factory C produces computers,
probably defective,
factory A produces computers,
probably defective, and
factory B produces computers,
probably defective.
So during that period, the number of defective computers produced is expected to be
,
and of those defective computers, came from factory C.
So the probability that the randomly selected defective computer comes from factory C must be
(rounded)
Maybe you would like to round it to ,
since the probability data given for each factory had only 2 significant digits.
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