Question: Question 5 [6 marks] Suppose that X1, , Xn is a random sample from a uniform distribution on the interval [01, 02] where 01 and

Question 5 [6 marks] Suppose that X1, , Xn is a random sample from a uniform distribution on the interval [01, 02] where 01 and 02 are unknown. Show that the statistic T - {min( X1, . . , Xn), max( X1, . . , X2)} are the sufficient statistics for (01, 02]. [Hint: pdf of a unform distribution can be expressed as f (x; 01, 02) = 1/(02 - 01)I(01

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