- #1

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## Homework Statement:

- given X an Y uniformly distributed on [0,1] independent find the density of S=X+Y

## Relevant Equations:

- Fs(Z)=P[X+Y<=Z]

i did not get how the professor came to such result. In particular:

in order to evaluate

P[x+y<=z] solved a double integral of the joint density. What i am not getting is did i choose the extreme of integration in order to get as result ##\frac {z^2} {2}##

in order to evaluate

P[x+y<=z] solved a double integral of the joint density. What i am not getting is did i choose the extreme of integration in order to get as result ##\frac {z^2} {2}##