Conditional expectations, $\mathbb{P}(X=Y)=1$
662
If $E[X|Y]=Y$ almost surely and $E[Y|X]=X$ almost surely then $X=Y$ almost surely
19471
Expectation of an absolute value of a normal random variate
85818
$E(|X-Y|)$ for $X$, $Y$ i.i.d and uniform on $[0,1]$
139722
Computing the expectation of conditional variance in 2 ways
149792
Show that $\lim_{p \to 0} \mathbb {E} [(X^p-1)/p ] = \mathbb{E} [\log X]$
35859
Conditional Probability: Black and White Balls
81973
Definition of $d (P (x ,y )dx)$
138962
$X$ is a random variable, if $\Bbb E(X^2)=1$ and $\Bbb E(X)\geq a>0$, prove that $\Bbb P(X\geq\lambda a)\geq(a-\lambda a)^2$ for $0\leq\lambda\leq 1$.
5350
Explain why $E(|X|^p)=p\int_{0}^{\infty}y^{p-1}P(|X|>y) dy$
124789
Expected value of subset of variables in Bayesian setting
156019
Expectation formula of an integrable random variable
33054
Given a joint density function, what is the conditional expectation $E[Y|x]$?
95022
Help understanding proof of the following statement $E(Y) = \sum_{i = 1}^{\infty} P(Y \geq k)$
111088
Conditional probability, $E[E(X\mid Y)\mid Y,Z]=?$
114603
Conditional Expectation of Composite Function
144359
A random variable that induces a $\sigma$-algebra the same as the one in the sample space
73517
conditional expectation of brownian motion