Let x1 , . . , xn be a set of independent and identi- cally distributed continuous random variables having dis- tribution function f, and let x(i), i = 1, . . , n denote their ordered values. if x, independent of the xi, i = 1, . . , n, also has distribution f , determine
(a) p{x > x(n)};
(b)p{x> x}; (1)
(c) p{x(i) < x < x(j)}, 1 i < j n.