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Suppose X is a random variable such that E[X] = 50 and Var(X) = 12. Calculate the following quantities. (a) E(X^2), (b) E[3X + 2]

Suppose X is a random variable such that E[X] = 50 and Var(X) = 12. Calculate the following quantities. (a) E(X^2), (b) E[3X + 2] (c) E((X + 2)^2) (d) Var(X), (e) Var(10 3X), (f) SD(2X).

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