please show the work

2. Let X1, X2, ..., Xn be independent random variables with density f(x; 0) = -a-1, where o is a known constant and 0 > 0 is an unknown parameter. Let T = max {X1, . .., Xn} = Xin) be the maximum of the n observations. a) Show that T = X() is a sufficient statistic for the parameter 0. b) Show that the density of T is notna-1 fr(t; 0) = Ana Oct50 . Hint: Compute the CDF first by using P(T