Ononot — Let X, Y be independent with X \sim N(0,1) and Y \sim \chi^2

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Random Variableshard

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Let $X, Y$ be independent with $X \sim N(0,1)$ and $Y \sim \chi^2_3$ (chi-squared with 3 df). What is the distribution of $\frac{X}{\sqrt{Y/3}}$ ?