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uID Instruction: There are 6 problems in this exam. Answer ALL questions. Details must be shown clearly to receive full credits. Problem 1 (a) We

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uID Instruction: There are 6 problems in this exam. Answer ALL questions. Details must be shown clearly to receive full credits. Problem 1 (a) We let ? and ? be two independent random variables. (i) Using the definition, show that (E[?1?] = [?] (ii) Show that the converse of the statement is not true by provided a counter- example. (b) We let ?, ? be two random variables such that Er? 2]

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