I was doing some questions involving the normal distribution when I saw that the percentage point of 0.95 is 1.6449, I know that 1.6449 is approximately $\frac{\pi^2}{6}$, and I was wondering if anyone knew if there was a special reason behind this value of the normal distribution being equal to $$\sum_{n=1}^\infty {n^{-2}} $$ or if it was purely a coincidence.
Thank you!