In the setup of a manufacturing process, the probability that a machine is correctly adjusted is .98. When correctly adjusted, the machine operates with a 4% defective rate. However, if it is incorrectly adjusted, the defective rate is 75%.
A.) After the machine starts a production run, what is the probability that a defect is observed when one part it tested?
B.) Suppose that the part selected by an inspector is found to be defective. What is the probability that the machine is incorrectly adjusted?