Ononot — Let X and Y be i.i.d. random variables with a common density

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Random Variableshard

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Let $X$ and $Y$ be i.i.d. random variables with a common density $f(x) = e^{-x}$ for $x \ge 0$ . Define the random variable $Z = \frac{X}{X+Y}$ . Which of the following describes the distribution of $Z$ ?