Two random variables X and Y have means and variances given below: m x = 1

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Two random variables X and Y have means and variances given below:

mx = 1 σ2= 4 m= 3 σ2= 7


A new random variable Z is defined as 

Z = 3X - 4Y


Determine the mean and variance of Z for each of the following cases of correlation between the random variables X = Y:

(a) PXY = 0

(b) PXY = 0.2

(c) PXY = 0.7

(d) PXY = 1.0

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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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