I'm not really sure where to start with this question. By being uniform, I assume it means it's mean is 0 and SD is 1? And a normal distribution?Suppose that X and Y are independent and each is uniformly distributed on (0, 1). Let U = X +

Y and V = X - Y.

Sketch the range (the region of non zero probability) of (X, Y) and the range of (U, V).

Find the density function of (U, V).

Find the density function of U.

Find the density function of

But I couldn't find any information in terms of adding or subtracting them, partly I guess because I have a lot of math to revise for this to make more sense.

If there are any suggestions, or if anyone could prod me in the right direction, i'd appreciate it! =)