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Could you help me with this question 3. Let X1, X2, ..., X, be i.i.d. random variables with density f(x; 0) = ( 0-x)/7/y, ifx

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3. Let X1, X2, ..., X, be i.i.d. random variables with density f(x; 0) = ( 0-x)/7/y, ifx 2 0 1 0 else # being unknown parameter and y > 0 a fixed constant. a) Sketch a graph of a density from this family for fixed 0 = 1 and y = 1. b) Find the cumulative distribution function Fx (y; 0) and the density fx(y; 0) of the smallest of the observations, X(1). (Don't treat o and y as specific values any more). Hint: you could use P(X() y) = 1-[P(X1 2 y)]". c) Justify that X() is a minimal sufficient statistic for 0. d) Find EX(). e) Show that Xon is complete. Hence find the UMVUE of 9

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