Let X1 and X2 be independent exponential random variables, each having rate . Let X(1) = minimum(X1,

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Let X1 and X2 be independent exponential random variables, each having rate μ.

Let X(1) = minimum(X1, X2) and X(2) = maximum(X1, X2)

Find

(a) E[X(1)],

(b) Var[X(1)],

(c) E[X(2)],

(d) Var[X(2)].

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