Question

A quality control audit has been devised to check on the sampling procedure when a truckload of potatoes arrive at a packing plant. A random sample of 250 is selected and examined for bruises and other defects. The whole truckload will be rejected if 5% of the sample is unsatisfactory. Determine the probability that the shipment will be accepted anyway if the load were to have 8% of the potatoes on the truck not meeting the desired standard.State assumptions and conditions and if they are met.