Lower bound on $E\|Z\|$ for normal $Z$
119647
Average norm of a N-dimensional vector given by a normal distribution
114953
Find $E[N]$ for $N =\min\{n:U_1+U_2\cdots+U_n>1\}$ where $U_1,U_2, . . .$ are independent uniform (0,1) random variables.
133801
Finding the PGF of $Z$ using conditional expectation.
128558
Inequality between $\ell^p$-norms
27356
Lower bound on proof length
81077
Prove that $E(X^n)^{1/n}$ is non-decreasing for non-negative random variables
140841
Induction proof of lower bound for $\sum \sqrt n$
106815
Better bound for integral inequality
120422
The joint density of the max and min of two independent exponentials
36444
Bound of a complex-valued function
90796
Inequality Regarding e
103618
Calculate $E(X^{2n})$ where $X$ is normal (0,1)
69614
a generalization of normal distribution to the complex case: complex integral over the real line
86635
Optimizing $(X_{n}+c)^{2}$ to show that $P(\overline{X}_{n}\geq \lambda) \leq E(X_{n}^{2})/(EX_{n}^{2}+ \lambda^{2})$
99644
Finding an Upper Bound on This Inequality
64239
Upper Bound for $p(1-p) $ where $0 \le p \le 1$
13561
Show: $E(|X|)\leqslant\liminf_{n\to\infty} E(|X_n|)$