Definition 6.4. A continuous random variable X is said to have a chi-square distribution with r degrees of freedom if its probability density function is of the form 1 if 0 0. If X has a chi-square distribution, then we denote it by writing X ~ x²(r). 17. If the random variable Y has a chi-square distribution with 54 degrees of freedom, then what is the approximate 84th percentile of Y?

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

 

show your solution  given this definition

Definition 6.4. A continuous random variable X is said to have a chi-square
distribution with r degrees of freedom if its probability density function is of
the form
1
if 0<x < o∞
r(5) 25 a5-1e-
f(x) =
otherwise,
where r > 0. If X has a chi-square distribution, then we denote it by writing
X ~ x²(r).
17. If the random variable Y has a chi-square distribution with 54 degrees
of freedom, then what is the approximate 84h percentile of Y?
Transcribed Image Text:Definition 6.4. A continuous random variable X is said to have a chi-square distribution with r degrees of freedom if its probability density function is of the form 1 if 0<x < o∞ r(5) 25 a5-1e- f(x) = otherwise, where r > 0. If X has a chi-square distribution, then we denote it by writing X ~ x²(r). 17. If the random variable Y has a chi-square distribution with 54 degrees of freedom, then what is the approximate 84h percentile of Y?
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

you show me the table you based your ansswer from

 

Solution
Bartleby Expert
SEE SOLUTION
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