Ononot — Let X1, X2 be independent random variables where X1 \sim \te

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Let $X_1, X_2$ be independent random variables where $X_1 \sim \text{Gamma}(\alpha_1, \beta)$ and $X_2 \sim \text{Gamma}(\alpha_2, \beta)$ . Define $Y = \frac{X_1}{X_1 + X_2}$ . Which of the following is the distribution of $Y$ ?