Fish story: 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 is 477 millimeters with a standard deviation of 37 millimeters. Assume these lengths are normally distributed. (a) What proportion of six-year-old rainbow trout are less than 440 millimeters long? (b) What proportion of six-year-old rainbow trout are between 370 and 470 millimeters long? (c) Is it unusual for a six-year-old rainbow trout to be less than 371 millimeters long? Round the answers to at least four decimal places