Let the joint density function fx,y (X,y) be fx,Y (x,y) = 1/2 ;0< x< y, 0< y< 2 Determine: i) The marginal PDFS fx(x) and f/Y). ii) The expected values of X and Y. iii) The conditional density fxy(x\y). iv) Are X and Y independent?
Let the joint density function fx,y (X,y) be fx,Y (x,y) = 1/2 ;0< x< y, 0< y< 2 Determine: i) The marginal PDFS fx(x) and f/Y). ii) The expected values of X and Y. iii) The conditional density fxy(x\y). iv) Are X and Y independent?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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:Let the joint density function fx,y (X,y) be
fxY (X,y) = 1/2 ;0s xs y, 0< y < 2
%3D
Determine:
i)
The marginal PDFS fx(x) and f(y).
ii)
The expected values of X and Y.
ii) The conditional density fxy(x|y).
iv) Are X and Y independent?
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