expected value of a monotonic function of a random var.
say I know that the following is true:
(where E(.) is the expected value, X is a positive random variable and k is some positive and final number)
what can I say about ?
Can I say it is also final, for instance?
I can maybe even assume k>1 , if it helps (but I cannot assume that on X, which I guess could've helped more in this case)
Re: expected value of a monotonic function of a random var.
I'm not sure what you mean by 'final' number? If you mean terminating number, then no. Consider, for example, a trivial pmf where x=2 with probability 1.