Let $X,Y$ be independent normally distributed random variables. Find the density of $\frac{X^2}{Y^2+X^2}$
65784
If $X,Y$ are independent $\chi ^2$ with $m$ and $n$ degrees of freedom, then $\frac{X}{X+Y} \sim\beta(m/2, n/2)$
142818
X,Y are independent standard normal distributed then what is the distribution of $\frac{X}{X+Y}$
69082
Show that $\frac{X}{X+Y}\sim Beta(\alpha,\beta)$
105850
Compute $E(X\mid X+Y)$ for independent random variables $X$ and $Y$ with standard exponential distributions
150908
Find the probability function of $X_1+X_2$ in geometric distribution
78733
Finding the density for $\min\{X, Y\}$
84203
Let $X_1$ and $X_2$ are independent $N(0, \sigma^2)$ random variables. What is the distribution of $X_1^2 + X_2^2$?
133729
Sum of normal independent random variables with coefficients
58338
How calculate the probability density function of $Z = X_1/X_2$
41058
Multivariate log-normal probabiltiy density function (PDF)
51845
PDF of $Y = \cos(\pi X)$
54002
Finding the distribution of the sum of three independent uniform random variables
4265
Finding the Moment Generating Function of $X^2$ when $X\sim N(0,1)$
62053
If $X$ and $Y$ are independent Normal variables each with mean zero, then $\frac{XY}{\sqrt{X^2+Y^2}}$ is also a Normal variable
111749
Mean and variance of Squared Gaussian: $Y=X^2$ where: $X\sim\mathcal{N}(0,\sigma^2)$?
141438
If $X$ is distributed $\mathcal{N}\sim(\mu,1)$ then what is the PDF of $X^2$?
13814
Limiting distribution of $\frac {X_n -Y_m -(n-m)}{\sqrt{X_n+Y_m}}$ where $X_n,Y_m$ are independent Poisson