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## Homework Statement

Suppose X and Y are independant and uniformly distributed on the unit interval (-1,1).

Determine P(|X-Y|<1)

## Homework Equations

## The Attempt at a Solution

so X = Y + 1. I haven't done double integrals with absolute value, but I know for the single variable case, you need to find the roots of the equations. Is this right:

[tex]\int^0_{-1} \int^1_{Y+1} dx dy + \int^1_0\int^1_{Y+1} dx dy[/tex]

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