Question

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 481 millimeters with a standard deviation of 41 millimeters. Assume these lengths are normally distributed.
a. What proportion of six-year-old rainbow trout are less than 450 millimeters long?
b. What proportion of six-year-old rainbow trout are between 400 and 500 millimeters long?
c. Is it unusual for a six-year-old rainbow trout to be less than 400 millimeters long? Explain.  = ___  = ___ n = ____
d. Find the 58th percentile of lengths.
e. Find the third quartile of lengths.
f. A size limit is to be put on trout that are caught. What should the size limit be so that 15% of six-year-old trout have lengths shorter than the limit?

Answer 1