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Answer.... P3.10 A random variable X is described by the PDF fx (x) (0.2 0 S x54, fx(x) = 0.056(x) +0.18(x -2) + 0.056(x -4)

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P3.10 A random variable X is described by the PDF fx (x) (0.2 0 S x54, fx(x) = 0.056(x) +0.18(x -2) + 0.056(x -4) + 0 otherwise. (d) Show that the characteristic function x(w) of X is given by e jew sin(2w) PX(W) = 8 + cos(2w) + 1 10 20

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