A system consists of two components whose lifetimes (in years) X1, X2 are inde-pendent and identically distributed with pdf f(x) = 0.5e−0.5x, x >0. (a) Show that the mean of X is 2 and use this to find E(X2−2X1). (b) ComputeP(X2= 2X1) andP(X2>2X1). (c) ComputeCov(X1, X2−2X1). You may use the fact that Var(X1) = 4.

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