Expected value of $\inf\{n|X_{1}+...X_{n}\ge1\}$ for $\{X_n\}$ i.i.d. uniform on $(0,1)$
33322
Choose a random number between $0$ and $1$ and record its value. Keep doing it until the sum of the numbers exceeds $1$. How many tries do we need?
33594
Expected value of average of Brownian motion
128440
If $X_1,\ldots,X_n\sim Uniform(0,1)$ and $Y=\max[X_1,\ldots,X_n]$, find $E(Y)$
83464
Conditional expectation of $\mathbb{E}(X - Y | (X, Y)\in\mathcal{A})$
98762
$f_n(x) = x - x^n$ for $x\in [0,1]$. Does the sequence converge pointwise or uniformly on $[0,1]$?
80803
Conditional expectation $E[\log(1+X) \mid X>t]$
54791
Is it true or false that $\lvert P([0, 1]) \setminus P((0, 1)) \rvert > \lvert P(\mathbb{N}) \rvert$
55909
The expected value of $1/(1+X)$ where $X$ has geometric distribution
81884
Minimal sufficient statistic of $\operatorname{Uniform}(-\theta,\theta)$
41778
Distribution of $-\log X$ if $X$ is uniform.
86635
Optimizing $(X_{n}+c)^{2}$ to show that $P(\overline{X}_{n}\geq \lambda) \leq E(X_{n}^{2})/(EX_{n}^{2}+ \lambda^{2})$
89544
Expectation of a random variable that takes points in the natural numbers
4130
Variance of a bounded random variable
156019
Expectation formula of an integrable random variable
49877
Expected value and indicator random variable
147705
Show that $\mathbb{E}(T) = \sum\limits^\infty_{k=1}\mathbb{P}(T \geq k)$ for $T$ nonnegative integer valued and $E[T] < \infty$
152184
Find expectation of $\frac{X_1 + \cdots + X_m}{X_1 + \cdots + X_n}$ when $X_1,\ldots,X_n$ are i.i.d