respectively. Let f =A prove that 1. f has F distribution with r, and r, degrees of freedom 2. E(f) = 3. Var(f): 2rn +-2) ni-2) (r-4)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 36E
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Q6: Let U and V are two independent chi-square random variables having r and r2 degrees of freedom
respectively. Let f = U prove that
V/
1. f has F distribution with r, and r, degrees of freedom
2. E(f) =
-2
2rž n +-2)
3. Var(f) =
%3D
Transcribed Image Text:Q6: Let U and V are two independent chi-square random variables having r and r2 degrees of freedom respectively. Let f = U prove that V/ 1. f has F distribution with r, and r, degrees of freedom 2. E(f) = -2 2rž n +-2) 3. Var(f) = %3D
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