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A machine used in a production process is set up correctly 97% of the time. Given that the machine is set up correctly, only 5% of the items it...
A machine used in a production process is set up correctly 97% of the time. Given that the machine is set up correctly, only 5% of the items it produces are defective, while 95% are not defective. On the other hand, if the machine is set up incorrectly, 60% of the items it produces are defective, while only 40% are not defective.
What is the probability that a randomly selected item from the production process will not be defective? Note: Express probabilities to 4 decimal places of accuracy. Hint: Construct a tree diagram.
