how can calculate $E(\Phi(X-1))$
177
How can I calculate $\int^{\infty}_{-\infty}\Phi\left(\frac{w-a}{b}\right)\phi(w)\,\mathrm dw$
104982
Determine $\phi(2^{399}+1)$
60831
Need hint for $\lim_{x\to 0} \frac{(x+1)^\frac{1}{x}-e}{x}$
128440
If $X_1,\ldots,X_n\sim Uniform(0,1)$ and $Y=\max[X_1,\ldots,X_n]$, find $E(Y)$
118195
How does one prove that $e$ exists?
115338
Example: satisfying $E(X_{n+1}\mid X_n)=X_n$ but not a martingale
94558
Show that $\phi(mn) = \phi(m)\phi(n)\frac{d}{\phi(d)}$
79024
the derivation of E(X|X)
122603
How does $\mathcal E(\rho)=\mathrm{Tr}_{env}[U(\rho\otimes\rho_{env})U^\dagger]$ turn into $P_0\rho P_0+P_1\rho P_1$?
77754
Given that $X \sim \operatorname{Binomial}(n,p)$, Find $\mathbb{E}[X(X-1)(X-2)(X-3)]$
81077
Prove that $E(X^n)^{1/n}$ is non-decreasing for non-negative random variables
149792
Show that $\lim_{p \to 0} \mathbb {E} [(X^p-1)/p ] = \mathbb{E} [\log X]$
142931
Problem on Euler's Phi function
21339
IF $f(x) = \int_{0}^{\phi (x)} g(t) dt$, How could we find $f'(x)$?
23946
Prove the definitions of $e$ to be equivalent
89544
Expectation of a random variable that takes points in the natural numbers
34960
Lower bound for $\phi(n)$: Is $n/5  1$?