Given the Gaussian random variable with the pdf where Ï > 0 is the standard deviation. If Y = X 2 , find the pdf of Y. Note that Y = X 2 is symmetrical about X = 0 and that it is impossible for Y to be less than zero.

Chapter 6, Problem #16

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Given the Gaussian random variable with the pdf
e-x²/2o? fx(x) = V2πσ

where σ > 0 is the standard deviation. If Y = X2, find the pdf of Y. Note that Y = X2 is symmetrical about X = 0 and that it is impossible for Y to be less than zero.

Related Book For answer-question

Principles of Communications Systems, Modulation and Noise

7th edition

Authors: Rodger E. Ziemer, William H. Tranter

ISBN: 978-8126556793