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Please help with this question. Please provide all steps and calculations. Please don't use answers from other websites, I looked at them and didn't understand

Please help with this question. Please provide all steps and calculations. Please don't use answers from other websites, I looked at them and didn't understand them. Thank you

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Problem 7 Let X 1, X 2, . . . ,X 100 be a random sample from a uniform distribution on the interval (0,1). Let S = X1 + X2 + . .. + X100. (1). Find the pdf for the statistic X0) = min(X1,X2,...,X100). (2).F1nd the pdf for the statistic X000) 2 max(X1, X2, . . .3X100). (3). Find an approximation for P(S > 55). (4). Let X 2 8/100. Find an approximation for P(2

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