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 480 millimeters with a standard deviation of 42 millimeters. Assume these lengths are normally distributed.

(a) What proportion of six-year-old rainbow trout are less than 441 millimeters long?

(b) What proportion of six-year-old rainbow trout are between 394 and 494 millimeters long?

(c) Is it unusual for a six-year-old rainbow trout to be less than 393 millimeters long?

Round the answers to at least four decimal places.