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3. x and y are independent zero mean Gaussian random variables with variance of and o3. Let z = (x + y)/2, w = (x - y) / 2. (a) Find the joint pdf f(z,w), (b) find the marginal pdf f(2), (c) Are z and w independent?

3. x and y are independent zero mean Gaussian random variables with variance of and o3. Let z = (x + y)/2, w = (x - y) / 2. (a) Find the joint pdf f(z,w), (b) find the marginal pdf f(2), (c) Are z and w independent?

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
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3. x and y are independent zero mean Gaussian random variables with variance of and o3. Let z = (x + y)/2, w = (x - y) / 2. (a) Find the joint pdf f(z,w), (b) find the marginal pdf fz(2), (c) Are z and w independent?
Transcribed Image Text:3. x and y are independent zero mean Gaussian random variables with variance of and o3. Let z = (x + y)/2, w = (x - y) / 2. (a) Find the joint pdf f(z,w), (b) find the marginal pdf fz(2), (c) Are z and w independent?
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