What is the expectation of $\left\langle (n \bar{y})^4 \right\rangle$, if $y_i \sim \mathcal{N}(\mu,\sigma^2)$?
37441
How to calculate the expected value of a standard normal distribution?
151721
Uhlmann's Theorem: proof of $\text{tr}(A^{\dagger} B) = \langle m | A \otimes B |m\rangle $
105145
Show that $\mathbb{E}\left(\bar{X}_{n}\mid X_{(1)},X_{(n)}\right) = \frac{X_{(1)}+X_{(n)}}{2}$
27788
Why is the expected value $E(X^2) \neq E(X)^2$?
34147
$\|u\|\leq \|u+av\| \Longrightarrow \langle u,v\rangle=0$
87328
Expectation of momentum in the bound state
145136
When can we interchange the derivative with an expectation?
146737
Integrate $\iiint_E z\,dx\,dy\,dz$ in $E=\lbrace(x,y,z) : x^2+y^2+z^2 \leq 4, z \leq 1 \rbrace$
79756
Invariance property of MLE: what is the MLE of $\theta^2$ of normal, $\bar{X}^2$?
89544
Expectation of a random variable that takes points in the natural numbers
20503
Meaning of inner product $\langle \vec{r} | \psi(t)\rangle $
141685
Why is expectation defined by $\int xf(x)dx$?
23246
Challenge question; How do I prove the expected value of the following?
94896
Deriving a QM expectation value for a square of momentum $\langle p^2 \rangle$
34278
A basic question on expectation of distribution composed random variables
74378
Convergence of $U_n=\frac{1}{\sqrt{2n\sigma^2}}\left(\Sigma X_j-\Sigma Y_j\right)$ - central limit theorem
94662
Tower property of conditional expectation