Chapter 6, Problem #16

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Given the Gaussian random variable with the pdf

where Ïƒ > 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.

7th edition

Authors: Rodger E. Ziemer, William H. Tranter

ISBN: 978-8126556793