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.
71278
What is the expectation of the following random variable
120422
The joint density of the max and min of two independent exponentials
156092
Existence of independent and identically distributed random variables.
110295
Probability that uniform random variables equal the natural numbers
64856
Finding $E(X\mid X>Y)$ when $X,Y$ are i.i.d $U(0,1)$
46753
Find the pdf of $\prod_{i=1}^n X_i$, where $X_is$ are independent uniform [0,1] random variables.
91500
Let $U, V \sim U(0,1)$ be independent. What is $P(U \leq V)$?
79457
Geometric random variables $X_1:G(p_1)$ $X_2:G(p_2)$ $X_3:G(p_3)$ are independent, prove the following :
30662
$x_{1}...x_{n}$ are independent continuous random variables with common distribution function $F(x)$,compute $E(F(x_{(n)})-F(x_{(1)}))$
68484
Revision of Borel-Cantelli, $(X_n)_{n \geq 1}$ sqn of $\geq 0$ identical RVs with $E(X) < \infty$ then $X_n/n \to 0$ a.s., are my arguments correct?
157818
MLE for Uniform $(0,\theta)$
83058
Finding $\mathrm{Var}(N)$ if $N=\inf\{n\ge1:\sum_{i=1}^nX_i>1\}$ where $X_i$'s are i.i.d Exponential variables
1094
Expected Value of the maximum of two exponentially distributed random variables
9507
How to calculate the distribution of the minimum of multiple exponential variables?
81077
Prove that $E(X^n)^{1/n}$ is non-decreasing for non-negative random variables
54002
Finding the distribution of the sum of three independent uniform random variables
59106
Components of an n-dimensional random variable from a uniform distribution are independent