Amachine is used in a production process. from past data, it is known that 97% of the time the machine is set up correctly. furthermore, it is known that if the machine is set up correctly, it produces 95% acceptable (non-defective) items. however, when it is set up incorrectly, it produces only 40% acceptable items. a. an item from the production line is selected. what is the probability that the selected item is non-defective? b. given that the selected item is non-defective, what is the probability that the machine is set up correctly?