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  479  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  451  millimeters long?   (b) What proportion of six-year-old rainbow trout are between  420  and  518  millimeters long?   (c) Is it unusual for a six-year-old rainbow trout to be less than  412  millimeters long?     Round the answers to at least four decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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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 

479
 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 

451
 millimeters long?

 

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

420
 and 
518
 millimeters long?

 

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

412
 millimeters long?

 

 

Round the answers to at least four decimal places.

 
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