An exponential probability density function of X is given f,(x) = • (1- p)2e* , if x20 if x< 0 vhere 2 and p are scalars with 2>0 and pe[0,1]. alculate the mean and variance X The transform associated with a random variable X_or the associated momer enerating function (MGF) is a function M,(s) for a scalar parameter s could b lefined by Mx(s)= E[e*]. - Show an appropriate corresponding transformation if X is a discrete random variable. . Show an appropriate corresponding transformation if X is a continuous random variable.

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