Question: Let X be a random variable with t0 fx(x) = 0 elsewhere (a) Determine the characteristic function Cx(w). (b) Using Cx(0), validate that fx(x) is

Let X be a random variable with t0 fx(x) = 0 elsewhere

(a) Determine the characteristic function Cx(w).

(b) Using Cx(0), validate that fx(x) is a proper pdf.

(c) Use Cx(o) to determine the first two moments of X.

(d) Calculate the variance of X.

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