The expectation of $\frac{1}{1+X}$ where $X$ is Geometric($p$)
55909
The expected value of $1/(1+X)$ where $X$ has geometric distribution
80803
Conditional expectation $E[\log(1+X) \mid X>t]$
64856
Finding $E(X\mid X>Y)$ when $X,Y$ are i.i.d $U(0,1)$
81077
Prove that $E(X^n)^{1/n}$ is non-decreasing for non-negative random variables
83313
Showing that $\frac{\sqrt[n]{n!}}{n}$ $\rightarrow \frac{1}{e}$
45143
Identify $E(X\mid X+Y)$ for $X$ and $Y$ independent and Poisson
25654
E[X| X>Y] for independent X, Y ~ N(0,1)
64720
Expected value of sums
118253
Conditional expectation of $X$ given $\sin(X)$
98662
$P(|X|\ge\lambda a)\ge (1-\lambda)^2a^2$ for $0\le \lambda \le 1$
50089
characterization of the existence of higher order expectation.
83464
Conditional expectation of $\mathbb{E}(X - Y | (X, Y)\in\mathcal{A})$
86635
Optimizing $(X_{n}+c)^{2}$ to show that $P(\overline{X}_{n}\geq \lambda) \leq E(X_{n}^{2})/(EX_{n}^{2}+ \lambda^{2})$
152184
Find expectation of $\frac{X_1 + \cdots + X_m}{X_1 + \cdots + X_n}$ when $X_1,\ldots,X_n$ are i.i.d
142325
Two independent geometric random variables - proof of sum
1290
Expectation of squared error
102030
Getting the expectation symbol to behave like $\sum$ instead of $\Sigma$