# Math Help - Joint Distribution with Union

1. ## Joint Distribution with Union

Having trouble setting up the (I assume) double integral for the following:

$P[(X\geq m) \cap (X - m)>(Y-n)]$

where

$X,Y$ follow a joint uniform distribution as follows:

$f(x,y)=\frac{1}{a^{2}}$ for $0\leq X\leq a , 0\leq Y\leq a$

Any help would be appreciated. Thanks!

2. Originally Posted by jdmgam
Having trouble setting up the (I assume) double integral for the following:

$P[(X\geq m) \cap (X - m)>(Y-n)]$

where

$X,Y$ follow a joint uniform distribution as follows:

$f(x,y)=\frac{1}{a^{2}}$ for $0\leq X\leq a , 0\leq Y\leq a$

Any help would be appreciated. Thanks!
There is no integral needed, just draw a diagram, and then geometry
will suffice.

RonL