Question: Consider the PDF fx (x) = kxlu(x) - u(x - 1)] a) Determine the value of k. b) Calculate the expected value of X. c)

Consider the PDF fx (x) = kxlu(x) - u(x - 1)]

Consider the PDF fx (x) = kxlu(x) - u(x - 1)] a) Determine the value of k. b) Calculate the expected value of X. c) Find the mean-square value of X. d) Compute the variance of X. Answer (a) k = 2; (b) My = 2/3; (c) E{X3} = _; (d) oz=1/18

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