New posts in Probability Distributions

Find the probability for having real roots with the polynomial $x^2+ax+b$

Jointly Gaussian random vectors

Derivative and calculus over sets such as the rational numbers

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

Given $X\sim\text{Bin}(n,p)$ and $Y\sim\text{Ber}\left(\frac Xn\right)$, find $E[X\mid Y]$

Probability of the outcome of this simple card game

Characteristic functions agree in a neighborhood of zero

Why are variance and expected value all we care about?

If $Y\sim\mu$ with probability $p$ and $Y\sim\kappa(X,\;\cdot\;)$ otherwise, what's the conditional distribution of $Y$ given $X$?

Suppose $E(X)=E(Y)$ and $\operatorname{Var}(X)>\operatorname{Var}(Y)$, do we have $E(f(X))>E(f(Y))$ for convex functions $f$?