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Let X have the probability density function (pdf) Cx(e te 2* +e- 3x), ifx>0, fx (20) = 0, otherwise. (a) Find the normalizing constant

Let X have the probability density function (pdf) Cx(e " te 2* +e- 3x), ifx>0, fx (20) = 0, otherwise. (a) Find the normalizing constant C and moment generating function (mof ) of X. (b) Find the cdf of X, Fx. (c) Find the mean E(X ) and variance Var(X)

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