Why is it true that if X has a uniform distribution, then its expected value is equal to its variance? - Quora
![geometry - Why the variance of x is 1/4 for a uniform distribution range in 0 to 1? - Mathematics Stack Exchange geometry - Why the variance of x is 1/4 for a uniform distribution range in 0 to 1? - Mathematics Stack Exchange](https://i.stack.imgur.com/ZA0l2.jpg)
geometry - Why the variance of x is 1/4 for a uniform distribution range in 0 to 1? - Mathematics Stack Exchange
![cumulative distribution function - How to prove $Y=X^{2}$ is Beta$\left(0.5,\ 1\right)$ if $X$ is Uniform$(0,\ 1)$ - Cross Validated cumulative distribution function - How to prove $Y=X^{2}$ is Beta$\left(0.5,\ 1\right)$ if $X$ is Uniform$(0,\ 1)$ - Cross Validated](https://i.stack.imgur.com/buqz2.png)
cumulative distribution function - How to prove $Y=X^{2}$ is Beta$\left(0.5,\ 1\right)$ if $X$ is Uniform$(0,\ 1)$ - Cross Validated
![Let (X, Y) have a uniform distribution in the region D = ((x, y): 0 < x < 2, 0 < y < 4, x < y). (Hint: The distribution of (X, Let (X, Y) have a uniform distribution in the region D = ((x, y): 0 < x < 2, 0 < y < 4, x < y). (Hint: The distribution of (X,](https://homework.study.com/cimages/multimages/16/regd2768646557117990037.png)
Let (X, Y) have a uniform distribution in the region D = ((x, y): 0 < x < 2, 0 < y < 4, x < y). (Hint: The distribution of (X,
![statistics - Density of sum of two independent uniform random variables on $[0,1]$ - Mathematics Stack Exchange statistics - Density of sum of two independent uniform random variables on $[0,1]$ - Mathematics Stack Exchange](https://i.stack.imgur.com/v26bS.png)
statistics - Density of sum of two independent uniform random variables on $[0,1]$ - Mathematics Stack Exchange
![probability - $(X_1,X_2)$ have uniform distribution on the triangle ${0 \leq x_1 \leq x_2 \leq 1}$ - Mathematics Stack Exchange probability - $(X_1,X_2)$ have uniform distribution on the triangle ${0 \leq x_1 \leq x_2 \leq 1}$ - Mathematics Stack Exchange](https://i.stack.imgur.com/m7pxD.png)