Show that the expected value of $X$ is equal to $E(x)$
43861
Find the Mean for Non-Negative Integer-Valued Random Variable
75902
Expectation of $\frac{1}{x+1}$ of Poisson distribution
55909
The expected value of $1/(1+X)$ where $X$ has geometric distribution
5350
Explain why $E(|X|^p)=p\int_{0}^{\infty}y^{p-1}P(|X|>y) dy$
129170
Deriving the expectation of $[\hat X,\hat H]$
13561
Show: $E(|X|)\leqslant\liminf_{n\to\infty} E(|X_n|)$
80803
Conditional expectation $E[\log(1+X) \mid X>t]$
25654
E[X| X>Y] for independent X, Y ~ N(0,1)
74054
Conditional expectation for a sum of iid random variables: $E(\xi\mid\xi+\eta)=E(\eta\mid\xi+\eta)=\frac{\xi+\eta}{2}$
38324
Show that $E(X)=\int_{0}^{\infty}P(X\ge x)\,dx$ for non-negative random variable $X$
64493
$X$ is a Geometric random variable find the expectation of $1/X$
123844
conditional expectation: an implication
64720
Expected value of sums
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 $0\leq\lambda\leq 1$.
79024
the derivation of E(X|X)
136707
Show that if $X$ and $Y$ are independent with the same exponential distribution, then $Z= |X - Y|$ has the same exponential distribution
95123
General solution of expected value of E(f(X))?