Exercise 31 (#5.64). Let (X1, ..., Xn) be a random sample from a dis- tribution on R with Lebesgue density 2-1(1 02)0.214), where 0 (-1,1) is unknown. (i) Show that the median of the distribution of Xi is given by m(0) (1 - 0)? log(1 + 0) when a > 0 and m(0) = -m(-6) when 0