Suppose X is a Gaussian random variable with mean X and variance 2x . Suppose we
Question:
(a) Prove that Y is also Gaussian for any a ≠ 0.
(b) What values for the constants a and b will lead to the new random variable Y having zero mean and unit variance?
(c) What values for the constants a and b will lead to the new random variable Y having a mean of µY and a variance of s Yσ2?
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a Y is also Gaussian with y a x b and 2 Y a 2 ...View the full answer
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Related Book For 
Probability and Random Processes With Applications to Signal Processing and Communications
ISBN: 978-0123869814
2nd edition
Authors: Scott Miller, Donald Childers
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