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Q20: Roll one fair 6-sided dice, let X be the number observed. (a) Find E(X), Var(X), SD(X). (b) Let Y be the sum of

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Q20: Roll one fair 6-sided dice, let X be the number observed. (a) Find E(X), Var(X), SD(X). (b) Let Y be the sum of 10 independent rolls of fair dice. Find E(Y), Var(Y), SD(Y). (c) Calculate the following quantities: E(X2), E(3X+2), E((Y+2)2), Var(-X), SD(2Y).

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