# statistics

posted by
**Michelle** on
.

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 its 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? Construct a tree diagram