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6. Let X and Y be two random variables over the countable probability space Q with probability function (a) Show that E [a .X

6. Let X and Y be two random variables over the countable probability space Q with probability function (a) Show that E [a .X +13 Y] [X] + "E [Y] where a and [3 are constants. (b) Given an example scenario that illustrates for some function f (O. (c) Show that if X and Y are independent RVs,

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