(Continuation of Exercise 1.13) a) Let N 1 be the index of the first record-to-date in the sequence. Find Pr{N 1 > n} for each n 2 . this should be a shock to your intuition — there is an infinite...

a) Let N₁
be the index of the first record-to-date in the sequence. Find Pr{N₁
> n} for each n².

this should be a shock to your intuition — there is an infinite expected wait for the first of an infinite sequence of occurrences, each of which must eventually occur.

Exercise 1.13

Let X₁, X₂, . . . , X_n, . . . be a sequence of IID continuous rv’s with the