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 39

millimeters. Assume these lengths are normally distributed.

(a) What proportion of six-year-old rainbow trout are less than

458

millimeters long?

(b) What proportion of six-year-old rainbow trout are between

415

and

516

millimeters long?

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

378

millimeters long?

Round the answers to at least four decimal places.

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The proportion of six-year-old rainbow trout less than 458 millimeters long is .