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## Homework Statement

A point Q is chosen at random inside the unit square. What is the density function of the sum of the coordinates of point Q? What is the density function of the product of the coordinates of the point Q? Use geometry to find these densities.

## Homework Equations

P(a < X < b) = Integral (a,b) of f(x)dx

## The Attempt at a Solution

I know that the interval for the first part has to be between 0 and 2, but I don't know f(x)