5.2-2 Let X1 and X2 be independent chi-square random variables with r1 and r2 degrees of freedom, respectively. Let Y1=(X1/rj)/(X272) and Y2 =X2 . (a) Find the joint pdf of Y1 and Y2. (b) Determine the marginal pdf of Y1.
5.2-2 Let X1 and X2 be independent chi-square random variables with r1 and r2 degrees of freedom, respectively. Let Y1=(X1/rj)/(X272) and Y2 =X2 . (a) Find the joint pdf of Y1 and Y2. (b) Determine the marginal pdf of Y1.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:5.2-2
Let X1 and X2 be independent chi-square random variables with r1 and r2 degrees of freedom, respectively. Let
Y1=(X1/r)/(X272) and Y2 = X2 .
(a) Find the joint pdf of Y1 and Y2.
(b) Determine the marginal pdf of Y1.
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