Question: A quality control group is designing an automatic test procedure for compact disk players coming from a production line. Experience shows that one percent of the units produced are defective. The automatic test procedure has probability 0.05 of giving a false positive indication and probability 0.02 of giving a false negative. That is, if D is the event a unit tested is defective, and T is the event that it tests satisfactory, then P (T|D) = 0:05 and P (Tc|Dc) = 0:02. Determine the probability P (Dc|T) that a unit which tests good is, in fact, free of defects.