Factories A, B and C produce computers. Factory A produces 4 times as manycomputers as factory C, and factory B produces 7 times as many computers asfactory C. The probability that a computer produced by factory A is defective is0.04, the probability that a computer produced by factory B is defective is 0.02,and the probability that a computer produced by factory C is defective is 0.03. Acomputer is selected at random and found to be defective. What is the probabilityit came from factory A?

The  probability is  

Step-by-step explanation:

Let assume that the number of computer produced by factory C is  k = 1  

 So  From the  question we are told that

       The number produced by  factory A is  4k =  4

        The  number produced by factory B is  7k  = 7

        The  probability of defective computers from A is  

        The  probability of defective computers from B is  

        The  probability of defective computers from C is

Now the probability of factory A producing a defective computer out of the 4 computers produced is  

substituting values

The probability of factory B producing a defective computer out of the 7 computers produced is  

substituting values

The probability of factory C producing a defective computer out of the 1 computer produced is  

substituting values

So the probability that the a computer produced from the three factory will be defective is  

substituting values

Now the probability that the defective computer is produced from factory A is

(23*2)-12=x     x=34

step-by-step explanation: