5. The lengths of walleye in a lake are normally distributed with mean 21 inches and standard deviation 8 inches. a. What percentage of walleye have length between 3 inches 31 inches? b. DNR decides to allow anglers to keep any walleye in the top 10%. What length a walleye should be in order to keep?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
### Problem 5

The lengths of walleye in a lake are normally distributed with a mean of 21 inches and a standard deviation of 8 inches.

#### Questions:

a. **What percentage of walleye have lengths between 3 inches and 31 inches?**

b. **DNR decides to allow anglers to keep any walleye in the top 10%. What length should a walleye be in order to keep it?**

#### Explanation:

The problem includes two small bell-shaped curves, which represent normal distribution graphs. The first graph is related to part (a) and illustrates the shaded area between two points, indicating the percentage of walleye lengths between 3 and 31 inches. The second graph, related to part (b), shows the extreme right portion shaded, representing the top 10% of walleye lengths.

The normal distribution is a continuous probability distribution that is symmetrical around its mean. The percentage of observations falling within a particular range can be determined using the properties of the distribution and statistical tables or software.
Transcribed Image Text:### Problem 5 The lengths of walleye in a lake are normally distributed with a mean of 21 inches and a standard deviation of 8 inches. #### Questions: a. **What percentage of walleye have lengths between 3 inches and 31 inches?** b. **DNR decides to allow anglers to keep any walleye in the top 10%. What length should a walleye be in order to keep it?** #### Explanation: The problem includes two small bell-shaped curves, which represent normal distribution graphs. The first graph is related to part (a) and illustrates the shaded area between two points, indicating the percentage of walleye lengths between 3 and 31 inches. The second graph, related to part (b), shows the extreme right portion shaded, representing the top 10% of walleye lengths. The normal distribution is a continuous probability distribution that is symmetrical around its mean. The percentage of observations falling within a particular range can be determined using the properties of the distribution and statistical tables or software.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman