# Thread: 2-d uniform distribution.

1. ## 2-d uniform distribution.

Can somebody xplain to me how to find probability density equation of a function which is uniform over (-3,3) on x-axis n uniform over (-1,4) on Y-axis. Its a 2 dimensional probability density function.

2. Originally Posted by Carvalho
Can somebody xplain to me how to find probability density equation of a function which is uniform over (-3,3) on x-axis n uniform over (-1,4) on Y-axis. Its a 2 dimensional probability density function.
The area of the rectangle you want for support of the pdf is $6\times 5=30$, so the pdf is:

$f(x,y)=\begin{cases} \frac{1}{30} & x \in (-3,3) \times (-1,4)\\0 & {\rm{otherwise}}\end{cases}$

CB