The length of eels (in cm) in a river may be assumed to be normally distributed with a mean of μ=46 and a standard deviation of σ=8. An angler catches an eel from a river. Let: X= the length (in cm) of an eel a) If the normal length of eels is between 34 cm and 62 cm, what percentage of eels fall within this normal range? ________ (round to 2 decimal places) b) What is the probability that an eel is at least 38 cm in length? ______ (round to 4 decimal places) c) The middle 50% of the lengths (in cm) of the eels are between ______ and __________. (Round answers to 2 decimal places) Due to the symmetry of the normal distribution we know that P(X>38)=P(X<________)
The length of eels (in cm) in a river may be assumed to be normally distributed with a mean of μ=46 and a standard deviation of σ=8. An angler catches an eel from a river. Let: X= the length (in cm) of an eel a) If the normal length of eels is between 34 cm and 62 cm, what percentage of eels fall within this normal range? ________ (round to 2 decimal places) b) What is the probability that an eel is at least 38 cm in length? ______ (round to 4 decimal places) c) The middle 50% of the lengths (in cm) of the eels are between ______ and __________. (Round answers to 2 decimal places) Due to the symmetry of the normal distribution we know that P(X>38)=P(X<________)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
The length of eels (in cm) in a river may be assumed to be
Let: X= the length (in cm) of an eel
a) If the normal length of eels is between 34 cm and 62 cm, what percentage of eels fall within this normal range ? ________ (round to 2 decimal places)
b) What is the probability that an eel is at least 38 cm in length? ______ (round to 4 decimal places)
c) The middle 50% of the lengths (in cm) of the eels are between ______ and __________. (Round answers to 2 decimal places)
Due to the symmetry of the normal distribution we know that
P(X>38)=P(X<________)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman