please write in clear handwriting thx:)

3) Let X1, X2, . .., Xn bei.i.d. random variables from a population with f(x; 0) = 202 73, if x 2 0 0 else 0 > 0 being unknown parameter. a) Sketch a graph of a density from this family for a fixed 0. b) Find the cumulative distribution function F(x; 0) of X1. c) Show that X(1) is a minimal sufficient statistic for 0. d) Show that the density of X(1) is given by fxu) (y; 0) = 2n02n 12n+r, if y > 0 0 else and hence find EX(1). Hint: Use P(X()