=+20.8. Ranks and records. Let X1, X2 ,... be independent random variables with a common continuous distribution function. Let B be the. w-set where X„,

(c) =X,(w) for some pair m, n of distinct integers, and show that P(B)=0.

Remove B from the space 2 on which the X ,, are defined. This leaves the joint distributions of the X ,, unchanged and makes ties impossible.