If a component is selected at random and is found to be not defective, find the probability that it was made by machine B. E. What is the probability to find a component that is not defective and it was made by machine A? F. What is the probability to find a component that is not defective and it was made by machine B?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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.

D. If a component is selected at random and is found to be not defective, find the probability that it was made by machine B.
E. What is the probability to find a component that is not defective and it was made by machine A?
F. What is the probability to find a component that is not defective and it was made by machine B?

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