# Math Help - Probability

1. ## Probability

The joint pdf (probability density function) of a random vector (X,Y) is

f(x,y) = 2( x + y - 2xy ) if 0<=x<=1, 0<=y<=1;

= 0 otherwise.

Find Pr(X > Y).

2. Originally Posted by maibs89
The joint pdf (probability density function) of a random vector (X,Y) is

f(x,y) = 2( x + y - 2xy ) if 0<=x<=1, 0<=y<=1;

= 0 otherwise.

Find Pr(X > Y).
You need to integrate the pdf over the region bounded by the lines:
$x=y; y=0; x=1$.
This will be $\int_{0}^{1}\int_{0}^{x} 2(x + y - 2xy) dydx$.