Hi all,

I'm trying to do the following problem and I'm having trouble figuring out how to set up my integrals:

Suppose that

and

are uniformly distributed over the triangle defined by the following points on y1,y2:

(-1,0), (0,1), (1,0)

a) Find

What I've been able to do up to the point I'm confused:

Because it's uniformly distributed over a triangle, I found that the probability is uniformly distributed over area: bh/2 = 2*1/2 = 1

Therefore, I get the distribution function:

Now I can't figure out how to write the double-integral, can I just use one or do I have to find the sum of different components of the part of the triangle that fits the constraints?