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Mr.Brown
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Homework Statement
If X is a real valued random variable with E[|X|] finite. <-> [tex]\sum(P(|X|>n))[/tex] finite
, with the sum over all natural numbers from 1 to infinity.
Homework Equations
As a tip I am given that for all integer valued X>0 E(X) = [tex]\sum(P(X)>k[/tex] , where the sum goes over all k =1 to k=infinity (k is a natural number)
The Attempt at a Solution
I don´t really have an idea i tried to find a way to relate integer valued stuff to real valued stuff by summing over all real valued stuff that are not integer.
But don't get anywhere :(
Hope for some advice