MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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.
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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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