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vptran84

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**Probability Density Function -- Need Help!**

Hi,

Can someone please check my work if i did the problem correctly? thanks in advance.

Here is the problem:

Find the PDF of W = X + Y when X and Y have the joint PDF fx,y (x,y) = 2 for 0<=x<=y<=1, and 0 otherwise.

here is my solution:

[tex]

\int_{0}^{1} \int_{0}^{w-y} 2dxdy

[/tex]

I work through the integral and get fw (w) = 2w-1 for w>0, and 0 for w<0.

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