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 0.019 and the probability that an item produced by factory B is defective is 0.041. A computer is selected at random and it is found to be defective. What is the probability it came from factory A?

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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 0.019 and the probability that an item produced by factory B is defective is 0.041.
A computer is selected at random and it is found to be defective. What is the probability it came from factory A?

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Given : Factory A produces 3 times as many computers as factory B

P(A)=3/4=0.75

P(B) =0.25

The probability that an item produced by factory A is defective is 0.019, P(D/A)=0.019

The probability that an item produced by factory B is defective is 0.041 , P( D/B)=0.041

 

 

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