query: Prove that random variable is uniformly distributed
positive_passages.docid: 22586
positive_passages.text: Distribution of $(XY)^Z$ for $(X,Y,Z)$ i.i.d. uniform on $(0,1)$
negative_passages.docid: 85818
negative_passages.text: $E(|X-Y|)$ for $X$, $Y$ i.i.d and uniform on $[0,1]$
negative_passages.docid: 138962
negative_passages.text: $X$ is a random variable, if $\Bbb E(X^2)=1$ and $\Bbb E(X)\geq a>0$, prove that $\Bbb P(X\geq\lambda a)\geq(a-\lambda a)^2$ for $0\leq\lambda\leq 1$.
negative_passages.docid: 54002
negative_passages.text: Finding the distribution of the sum of three independent uniform random variables
negative_passages.docid: 94794
negative_passages.text: proof that p-value is uniformly distributed when the null hypothesis is true
negative_passages.docid: 72813
negative_passages.text: If $X$ and $Y$ are uniformly distributed on $(0,1)$, what is the distribution of $\max(X,Y)/\min(X,Y)$?
negative_passages.docid: 152642
negative_passages.text: Expectation of Minimum of $n$ i.i.d. uniform random variables.
negative_passages.docid: 41778
negative_passages.text: Distribution of $-\log X$ if $X$ is uniform.
negative_passages.docid: 144923
negative_passages.text: Prove that the maximum of $n$ independent standard normal random variables, is asymptotically equivalent to $\sqrt{2\log n}$ almost surely.
negative_passages.docid: 75842
negative_passages.text: Quotient Distribution of Positive Independent Random Variables
negative_passages.docid: 82361
negative_passages.text: How do you prove that $p(n \xi)$ for $\xi$ irrational and $p$ a polynomial is uniformly distributed modulo 1?
negative_passages.docid: 42143
negative_passages.text: Prove X is a martingale
negative_passages.docid: 25533
negative_passages.text: Why is the CDF of a sample uniformly distributed
negative_passages.docid: 17558
negative_passages.text: How do I show that the sum of two random variables is random variable?
negative_passages.docid: 35862
negative_passages.text: Expectation of Max and Min of Two Uniform Random Variables
negative_passages.docid: 139877
negative_passages.text: Square of a uniform random variable
negative_passages.docid: 152495
negative_passages.text: Prove that if $X$ and $Y$ are Normal and independent random variables, $X+Y$ and $X-Y$ are independent