59. Let X1,X2,X3, and X4 be independent continuous random variables with a common distribution function F and let p = P{X1 < X2 > X3 < X4}

(a) Argue that the value of p is the same for all continuous distribution functions F.

(b) Find p by integrating the joint density function over the appropriate region.

(c) Find p by using the fact that all 4! possible orderings of X1, . . . ,X4 are equally likely.