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A random variable X has a PDF 1 fx (x) = - [u(x + 2) - u(x - 2)] where u(x) is the unit step

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A random variable X has a PDF 1 fx (x) = - [u(x + 2) - u(x - 2)] where u(x) is the unit step function. Suppose the random variable Y = X2 a) Find the mean value of Y. b) Compute the mean-square value of Y. c) Determine the variance of Y. Answer (a) 4/3; (b) 16/5; (c) 64/45

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