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For the Exponentially Distributed random variable X with probability density function (pdf) as tollows: fx(x) = dea x>0 otherwise Homework 1: Show thue derivation

For the Exponentially Distributed random variable X with probability density function (pdf) as tollows: fx(x) = dea x>0 otherwise Homework 1: Show thue derivation of tlu: following: 1 v E(X) Hx - B Homework 2: Show the derivation of the lollowing: 1 Var(X) = of = g2 = IHomework 3: Show the derivation of the tollowing: Mal?) F(c*) = (1 - Beyr -(1-

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