Let $X$ be a random variable with the moment generating function $$_() =\frac{6}{\pi^2}\sum_{n\geq 1}\frac{e^{\frac{t^2}{2n}}}{n^2}$$ Then $(X\in \mathbb{Q})$, where is the set of rational numbers, equals
I have been stuck at this problem for a while now. Cant make any headway. Any hints?