11. Let X1, X2, X3, X4, X5, be independent continuous random variables a common distribution function F and density function

f, and set 1-P{XX > X3 X4 X5)

(a) Show that I does not depend on F.

HINT: Write I as a five-dimensional integral and make the cha variables u, F(x), i 1,..., 5.

(b) Evaluate 1.