Two Gaussian random variables, X and Y, are in dependent. Their respective means are 4 and 2,
Question:
Two Gaussian random variables, X and Y, are in dependent. Their respective means are 4 and 2, and their respective variances are 3 and 5.
(a) Write down expressions for their marginal pdfs.
(b) Write down an expression for their joint pdf.
(c) What is the mean of Z1 = 3X + Y? Z2 = 3X - Y?
(d) What is the variance of Z1 = 3X + Y? Z2 = 3X - Y?
(e) Write down an expression for the pdf of Z1 = 3X + Y.
(f) Write down an expression for the pdf of Z2 = 3X - Y.
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a b c E Z 1 3m X m Y 3 4 2 14 E ...View the full answer
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Related Book For 
Principles of Communications Systems, Modulation and Noise
ISBN: 978-8126556793
7th edition
Authors: Rodger E. Ziemer, William H. Tranter
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