Find the mean value, the standard deviation and the skewness of the exponential distribution: fx (x) = { ke-² for z>0 otherwise where k is a positive constant. Also, prove for this distribution that the moment about the origin of order n is given by: n!/k".

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

Hi I wasn't sure on how to start the problem. I'm not sure how to go about looking for the proof 

Find the mean value, the standard deviation and the skewness of the exponential distribution:
fx(x) = { ke
ke-k for 1>0
otherwise
where k is a positive constant. Also, prove for this distribution that the moment about the
origin of order n is given by: n!/k".
Transcribed Image Text:Find the mean value, the standard deviation and the skewness of the exponential distribution: fx(x) = { ke ke-k for 1>0 otherwise where k is a positive constant. Also, prove for this distribution that the moment about the origin of order n is given by: n!/k".
Expert Solution
Step 1

Statistics homework question answer, step 1, image 1

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar 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