4. Given that X has a beta distribution with parameters a = 3=, prove that the random variable X 1-X has an F distribution. How many degrees of freedom does this F-distribution have?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 21E
icon
Related questions
Question
4. Given that X has a beta distribution with parameters a = 3 = 1, prove that the
X
random variable
F-distribution
has an F distribution. How many degrees of freedom does this
1 - X
have?
Transcribed Image Text:4. Given that X has a beta distribution with parameters a = 3 = 1, prove that the X random variable F-distribution has an F distribution. How many degrees of freedom does this 1 - X have?
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,