Machines A and B produce 40% and 60% respectively of the production of a component intended for the motor industry. The probability that machine A produces a defective component is 0.05 while the probability that machine B produces a defective component is 0.09. A. If a component is selected randomly, what is the probability that this component will be defective? B. If a component is selected at random and is found to be defective, find the probability that it was made by machine A. C. If a component is selected at random and is found to be defective, find the probability that it was made by machine B.

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Chapter1: Combinatorial Analysis
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Machines A and B produce 40% and 60% respectively of the production of a component intended for the motor industry. The probability that machine A produces a defective component is 0.05 while the probability that machine B produces a defective component is 0.09.
A. If a component is selected randomly, what is the probability that this component will be defective?
B. If a component is selected at random and is found to be defective, find the probability that it was made by machine A.
C. If a component is selected at random and is found to be defective, find the probability that it was made by machine B.

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