Find $E(e^{aX})$ if $X \sim \operatorname{Gamma}(\lambda, k)$
33585
Moment generating function of a gamma distribution
151996
Calculate the expected value of $Y=e^X$ where $X \sim N(\mu, \sigma^2)$
152686
How to derive $E=mc^{2}$?
98662
$P(|X|\ge\lambda a)\ge (1-\lambda)^2a^2$ for $0\le \lambda \le 1$
129170
Deriving the expectation of $[\hat X,\hat H]$
69010
Is there a way to evaluate the derivative of $x$! without using Gamma function?
99006
Find conditional expectation from a 3-dimensional random vector?
83464
Conditional expectation of $\mathbb{E}(X - Y | (X, Y)\in\mathcal{A})$
126669
UMVUE of $e^{-\lambda}$ from poisson distribution
60470
Sum of truncated Gammas and degenerate
146737
Integrate $\iiint_E z\,dx\,dy\,dz$ in $E=\lbrace(x,y,z) : x^2+y^2+z^2 \leq 4, z \leq 1 \rbrace$
86635
Optimizing $(X_{n}+c)^{2}$ to show that $P(\overline{X}_{n}\geq \lambda) \leq E(X_{n}^{2})/(EX_{n}^{2}+ \lambda^{2})$
115355
Find $E(\max(X,Y))$ for $X$, $Y$ independent standard normal
122603
How does $\mathcal E(\rho)=\mathrm{Tr}_{env}[U(\rho\otimes\rho_{env})U^\dagger]$ turn into $P_0\rho P_0+P_1\rho P_1$?
105850
Compute $E(X\mid X+Y)$ for independent random variables $X$ and $Y$ with standard exponential distributions
58741
Operator Exponential $e^A e^B = e^{A+B}$
109109
Show that $E(XE[X|G])=E[(E[X|G)^2]$