A college food service buys frozen fish in boxes labeled 8.5 pounds. The true average weight of the boxes is 7.75 pounds with a standard deviation of 3 pounds. The food service director suspects that the boxes do not contain as much fish as advertised. He decides to inspect 40 boxes from the next shipment. If the average weight is less than 8.5 pounds he will reject the entire shipment. Find the probability that the food service director will not reject the shipment. Give your answer to 4 decimal places.