New posts in Normal Distribution

Obtain the conditional distribution of $X$ given $X^2=t$

Chi Squared Clarification

Why are the random variables $X+Y$ and $X-Y$ independent when $X$ and $Y$ are i.i.d $N(0,1)$?

Solving the functional equation $f(x)f(y)=c\,f(\sqrt{x^{2}+y^{2}})$

Calculate $\mathbb E(Y^2\mid X)$

Probability that $Y > 3X$ where $X,Y$ are $N(0,1)$ random variables

Bounds on expectation of Gaussian random vectors

What would be the distribution of $(X_i-\frac{1}{n}\sum^n_{i=1}X_i)?$

Equal in distribution, linear combination of random variables

$X_{1},X_{2} \sim N(0,1)$ and are independent. Show $\frac{X_{1}}{X_{2}}$ and $\sqrt{X_{1}^{2}+X_{2}^{2}}$ are independent