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Please help me with this HW question. It has three parts (a, b, c) but it's one question. Thanks! Prove or give a counterexample to

Please help me with this HW question. It has three parts (a, b, c) but it's one question. Thanks!

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Prove or give a counterexample to the following statements. a) Let M(t) be the moment generating function of a random variable X. Then, M(2) 0, it is always true that E(X) P(X Z a) S a

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