Obviously, the bottom is a chi-square and the numerator is normal, but I'm not sure how to calculate the distribution of $Y = \frac{X_1}{X_1^2+...+X_n^2}$. With each $\mu_i$ distinct and not necessarily equal.
2026-03-28 09:53:35.1774691615
Distriubtion of $Y = \frac{X_1}{X_1^2+...+X_n^2}$, where $X_i \sim N(\mu_i, 1)$
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