#### batman350z

##### New member

- Joined
- Apr 19, 2012

- Messages
- 5

Can't get my head around this joint distribution problem.

Suppose X and Y have joint distribution given by:

\(\displaystyle f(x,y) = \left\{

\begin{array}{l l}

x+y & \quad \text{if 0 $\leq x, y $\leq 1}\\

0 & \quad \text{otherwise}\\

\end{array} \right.\)

Find the distribution of X+Y

Having difficulties finding the boundaries for my integration. I know that I need do declare a dummy variable t = X + Y

Been stuck on this for a few hours now, help is much appreciated! Thanks.

Suppose X and Y have joint distribution given by:

\(\displaystyle f(x,y) = \left\{

\begin{array}{l l}

x+y & \quad \text{if 0 $\leq x, y $\leq 1}\\

0 & \quad \text{otherwise}\\

\end{array} \right.\)

Find the distribution of X+Y

Having difficulties finding the boundaries for my integration. I know that I need do declare a dummy variable t = X + Y

Been stuck on this for a few hours now, help is much appreciated! Thanks.

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