I'm quite lost with regards to solving this problem. Any help is appreciated. Thanks.
Suppose $X_1, X_2, . . .$ are independent discrete random variables, having the same distribution, and $E[X_i]>0$, for each $i$. Is it true that for any two positive integers $m$ and $n$
$E[\frac{X_1+...+X_m}{X_1+...+X_n}]=\frac{m}{n}$ ?