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4. Let the joint pdf of random variables X and Y defined as: fx.y (2, y) = SA, 0< + lvl <1 10, otherwise. a) What is the value of A? b) What is the marginal pdf of X? c) Are X and Y independent? Prove this. d) Calculate the conditional density fy (y a). Prove that it is a valid pdf.

4. Let the joint pdf of random variables X and Y defined as: fx.y (2, y) = SA, 0< + lvl <1 10, otherwise. a) What is the value of A? b) What is the marginal pdf of X? c) Are X and Y independent? Prove this. d) Calculate the conditional density fy (y a). Prove that it is a valid pdf.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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4. Let the joint pdf of random variables X and Y defined as: JA, 0S피+ 1yl <1 0, otherwise. fxy (a, y) = a) What is the value of A? b) What is the marginal pdf of X? c) Are X and Y independent? Prove this. d) Calculate the conditional density fy (y |x). Prove that it is a valid pdf.
Transcribed Image Text:4. Let the joint pdf of random variables X and Y defined as: JA, 0S피+ 1yl <1 0, otherwise. fxy (a, y) = a) What is the value of A? b) What is the marginal pdf of X? c) Are X and Y independent? Prove this. d) Calculate the conditional density fy (y |x). Prove that it is a valid pdf.
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