Let X1,X2,X3 and X4 be independent continuous random variables with common density function f and let p= P(X1X3

(a) argue that the value of p is the same for all continuous density functions f (Hint: Remember the inverse transformation method of generating random variable

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

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

ps. Please be aware of this: p= P(X1X3