Let x1, x2, x3, x4, x5 be independent continuous random variables having a common distribution function f and density function f, and set i = p{x1 < x2 < x3 < x4 < x5} (a) show that i does not depend on f. hint: write i as a five-dimensional integral and make the change of variables ui = f(xi), i = 1, , 5. (b) evaluate i. (c) give an intuitive explanation for your answer to (b).