Why does it take an average of $\mathrm{e}$ random numbers in $(0,1)$ to exceed $1$?
102505
Expected number of (0,1) distributed continuous random variables required to sum upto 1
63581
Computation of a limit involving factorial $\lim_{n \to \infty} \sqrt[n+1] {(n+1)!} - \sqrt[n] {(n)!} = \frac{1}{e}$
128746
Probability of mean of random sample being in a certain range
125080
Why is uniform prior on log(x) equal to 1/x prior on x?
92569
Showing that ${\rm E}[X]=\sum_{k=0}^\infty P(X>k)$ for a discrete random variable
64844
Finding $E(|X_1|\ |\max |X_i| )$
48332
Why does the minimum value of $x^x$ equal $1/e$?
9484
Why does the sum of the reciprocals of factorials converge to $e$?
81077
Prove that $E(X^n)^{1/n}$ is non-decreasing for non-negative random variables
53109
Why is this limit $\lim_{n \to \infty}(1 + \frac{1}{n})^n$ equal to $e$?
65759
A possible incorrect application of Law of Large numbers
68507
Random number generation and probability
144923
Prove that the maximum of $n$ independent standard normal random variables, is asymptotically equivalent to $\sqrt{2\log n}$ almost surely.
50089
characterization of the existence of higher order expectation.
135815
Why isn't there a uniform probability distribution over the positive real numbers?
147323
calculating mean of a random variable raised to a power
83873
Find $E(|X-Y|^a)$ where $X$ and $Y$ are independent uniform on $(0,1)$