An inspector must 100% inspects a production batch of 500 parts using a gagging method. If the

Question:

An inspector must 100% inspects a production batch of 500 parts using a gagging method. If the actual fraction defect rate in the batch is q = 0.02, and the inspector's accuracy is given by p1 = 0.96 and p2 = 0.84, determine
(a) The number of defects the inspector can be expected to report and
(b) The expected number of Type I and Type II errors the inspector will make.