Question: Two discrete random variables: X, Y. Show that, using the properties of the expected value function, that: a) E(X+E(X)) - E(a(X-E(X)) = 2E(X) Show that,

Two discrete random variables: X, Y. Show that, using the properties of the expected value function, that: a) E(X+E(X)) - E(a(X-E(X)) = 2E(X) Show that, using the properties of variance, that: a) var(X + X)2 = 16(var(X)?) b) var(X +Y) +var(X=Y) = 2.var(X+Y) c) What assumption are we making about the variance of the variables
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