You are considering a quality inspection scheme to use on the spark plugs which are sent from your supplier. These spark plugs come in a shipments of 50,000. Denote the unknown proportion of defective spark plugs in the shipment by p. Ideally you would like to reject the shipment if p > .05 and accept it if p 2 then the shipment fails the quality test and will be returned to the supplier. (a) Find the probability that the shipment is rejected when p= .05 (this corresponds to an "error" since at p = .05 we would want to accept the shipment). (b) Find the probability that the shipment is accepted when p = .1 (this corresponds to an "error" again since at p = .1 we would want to reject the shipment). (c) Find the probability that the shipment is accepted when p = .2. Note: The value of p is, of course, unknown. In these questions we assume that it has various concrete values in order to analyze the inspection scheme.