query: Finding density of $U = \frac{X}{X + Y}$ for $X, \ Y $ ~ $\text{Exp}(\lambda)$ i.i.d
positive_passages.docid: 26860
positive_passages.text: X,Y are independent exponentially distributed then what is the distribution of X/(X+Y)
negative_passages.docid: 131931
negative_passages.text: Derivation of the density function of student t-distribution from this big integral.
negative_passages.docid: 32407
negative_passages.text: Prove $\exp(x+y) = \exp(x) \exp(y)$ for $\exp(x) = \sum_{n=0}^\infty \frac {x^n}{n!}$
negative_passages.docid: 91395
negative_passages.text: Distribution of sum of exponentials
negative_passages.docid: 78828
negative_passages.text: Intuitive explanation for density of transformed variable?
negative_passages.docid: 139139
negative_passages.text: Find the density of the sum of two uniform random variables
negative_passages.docid: 101687
negative_passages.text: $ \lim_{x\to o} \frac{(1+x)^{\frac1x}-e+\frac{ex}{2}}{ex^2} $
negative_passages.docid: 143765
negative_passages.text: To Show that $\exp(tX)\exp(tY)= \exp(t(X+Y)) + (1/2)t^2[X, Y] +o(t^3)$
negative_passages.docid: 41100
negative_passages.text: Density of sum of two independent uniform random variables on $[0,1]$
negative_passages.docid: 106038
negative_passages.text: Burgers' equation $u_y + uu_x = 0$ with $u(x,0)=-x$
negative_passages.docid: 28520
negative_passages.text: Exponential or logarithm of a dimensionful quantity?
negative_passages.docid: 158107
negative_passages.text: Joint density for exponential distribution
negative_passages.docid: 150890
negative_passages.text: Evaluating $\int_{\mathbb{R}}\frac{\exp(-x^2)}{1+x^2}\,\mathrm{d}x$
negative_passages.docid: 84185
negative_passages.text: density of $X^2$ when $X$ has uniform $[-1, 2]$ distribution
negative_passages.docid: 126937
negative_passages.text: If $X$ has a $U[-1, 3]$ distribution and $Y = X^2$, find the probability density function of $Y$ .
negative_passages.docid: 44088
negative_passages.text: I have a complicated density function, how to find the constant?
negative_passages.docid: 27127
negative_passages.text: Calculating $\iint (x+y) \, dx \, dy$