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

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)].