# Math Help - can a random variable donimant

1. ## can a random variable donimant

Given two random variables x and y, and a constant c

What conditions are needed to make:

$Prob( w x + y < c ) \approx Prob( w x < c ), \text{ for } w \rightarrow \infty$

Can anyone help?

I think $E(x) < \infty$ and $E(y) < \infty$ might do. Is this right?

tks!!!!

2. 1 I assume, for all c?
2 Do you want one or two tilde's?
One means that the limit of the ratio is 1
Two means that the limit of the ratio is not infinite, O(1).