Bivariate Probability question

[fireb]

Homework Statement

Let x and y have the join probability density function given by

f(x,y) = 6 (1-y) 0<= x<=y<= 1
= 0 elsewhere
Find P(x<=3/4, y=> 1/2)

Homework Equations

The Attempt at a Solution

I know you have to find the probability in 2 parts.. but i am unsure how to do it?? any advice will be appreciated, thanks in advice.

 

[lanedance]

start by drawing the following in the x y plane
- the area where f(x,y) is non-zero
- the region x<= 3/4
- the region y >= 1/2

the use this information to set up a double integral of f(x,y) over the required region