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12. (Probability revision). Let & and n be some random variables with finite second moments. (i) If & and n are independent and a, b

12. (Probability revision). Let & and n be some random variables with finite second moments. (i) If & and n are independent and a, b E R then prove that Var(ag + n+ b) = alvar(E) + Var(n). (ii) Covariance of two random variables & and

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