Question: Let X and Y be two statistically independent random variables with PDFS fx (x) = 5e-5xu(x) and fy (y) = 2e-2yu(y) For the random variable

Let X and Y be two statistically independent random variables with PDFS fx (x) = 5e-5xu(x) and fy (y) = 2e-2yu(y) For the random variable Z = X + Y, find a) the value of fz (0) b) the value of Z for which fz (z) is a maximum c) the probability that Z is greater than 1.0. Answer a) 0; b) 0.305; (c) 0.221

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