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Please show all work, calculations, formulas Let X|,X2, ..,.Xn be a sequence of independent and identically distributed random variables each having nite mean u and

Please show all work, calculations, formulas

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Let X|,X2, ..,.Xn be a sequence of independent and identically distributed random variables each having nite mean u and variance 02. Let Tn=XI +X2+X3 + ...... Xn a. Describe the distribution of Tn (i) Expected value of Tn {justiiy with calculations) (ii) Standard deviation of Tn {justify with calculations) {iii} Name of the distribution {justiim

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