Finding $\mathbb{E}(X|X<Y)$ where $X,Y$ are iid $\exp(\lambda)$ random variables
62605
How to find $\mathbb{E}(X\mid\mathbf{1}_{X<Y})$ where $X,Y$ are i.i.d exponential variables?
12407
Gamma Distribution out of sum of exponential random variables
122949
memoryless property of exponential distributions with random variables
45025
IID Random Variables that are not constant can't converge almost surely
19148
PDF of a sum of exponential random variables
129116
$P(X<Y)$ where X and Y are exponential with means $2$ and $1$
92054
$X$ and $Y$ i.i.d., $X+Y$ and $X-Y$ independent, $\mathbb{E}(X)=0 $ and $\mathbb{E}(X^2)=1$. Show $X \sim N(0,1)$
42193
Show that $E(Y^p)=\int_{0}^{\infty}px^{p-1}P(Y\geq x)dx$
5350
Explain why $E(|X|^p)=p\int_{0}^{\infty}y^{p-1}P(|X|>y) dy$
79024
the derivation of E(X|X)
19471
Expectation of an absolute value of a normal random variate
38324
Show that $E(X)=\int_{0}^{\infty}P(X\ge x)\,dx$ for non-negative random variable $X$
22085
Expectation of a function of a random variable from CDF
45751
Expectation of the maximum of i.i.d. geometric random variables
132920
Help with proof that the expected value of $x_i$ is $\bar{X}$
98710
Finding $\int_0^{\infty}xe^{-\lambda x} \, dx$
50089
characterization of the existence of higher order expectation.