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1) Let X1,ng_._Xn are i.i.d random sample from Nu, 02}, Where u: a? both unknown. [:20 points) Consider creating 100(1 a}% (3.1 of n. a}

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1) Let X1,ng_._Xn are i.i.d random sample from Nu, 02}, Where u: a? both unknown. [:20 points) Consider creating 100(1 a}% (3.1 of n. a} 1What pivot will you use and what distribution does the pivot will follow? b) Find the exact expression of upper and lower bound of 100(1 a)% CI of n. Consider creating 100(1 CI)% (3.1 of 02. c) "What pivot will you use and what distribution does the pivot will follow? {1) Find the exact expression of upper and lou-'er bound of 100(1 a)% CI of 0'2

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