The random variable X is normally distributed with mean and standard deviation X = 0 and X
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The random variable X is normally distributed with mean and standard deviation μX = 0 and σX = 1, respectively. A dependent random variable Y is defined as Y = X2 Show that the probability density function of Y is a chi-square distribution (as given by Equation 5.66).
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Related Book For 
Probability Statistics And Reliability For Engineers And Scientists
ISBN: 9781439809518
3rd Edition
Authors: Bilal M. Ayyub, Richard H. McCuen
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