Given two independent random variables (X_{1}, X_{2}) (a) Provide an expression for (Eleft[X_{1}+X_{2} mid X_{1}ight]). (b) Evaluate

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Given two independent random variables \(X_{1}, X_{2}\)

(a) Provide an expression for \(E\left[X_{1}+X_{2} \mid X_{1}ight]\).

(b) Evaluate the above when \(E\left[X_{1}ight]=E\left[X_{2}ight]=0\).

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