Two Gaussian random variables, X and Y, are in dependent. Their respective means are 5 and 3,

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Two Gaussian random variables, X and Y, are in dependent. Their respective means are 5 and 3, and their respective variances are 1 and 2.

(a) Write down expressions for their marginal pdfs.

(b) Write down an expression for their joint pdf.

(d) What is the variance of Z₁ = X + Y? Z₂ = X - Y?

(e) Write down an expression for the pdf of Z₁ = X + Y.

(f) Write down an expression for the pdf of Z₂ = X - Y.

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Principles of Communications Systems, Modulation and Noise

ISBN: 978-8126556793

7th edition

Authors: Rodger E. Ziemer, William H. Tranter

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Question Posted: Sep 22, 2018 11:32 AM

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Two Gaussian random variables, X and Y, are in dependent. Their respective means are 5 and 3,

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