See
http://tdunning.blogspot.com/2010/10/why-is-sum-of-two-uniform-randoms-not.html

On Tue, Oct 12, 2010 at 11:07 PM, Ted Dunning <[email protected]> wrote:

> I will put up a more detailed explanation on my blog where I can draw
> pretty pictures and write mathematical notation, but the
> crux of the argument that if you are adding two random variables x and y,
> then the region where there is non-zero probability is
> the square [0,1] x [0,1].
>

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