According to a report by the U.S. Fish and Wildlife Service, the mean length of six-year-old rainbow trout in the Arolik River in Alaska = 480 millimeters with a standard deviation = 45 millimeters. Assume these lengths are Normally distributed. Nine rainbow trout were chosen at random for a study, find the probability that the average length of these nine rainbow trout is more than 500.6 and less than 506.2 millimeters long