If X and Y are independent and identically distributed uniform random variables on (0, 1), compute the joint density of
a) U=X+Y, V=X/Y;
b) U=X, V=X/Y;
c) U=X+Y, V=X/(X+Y).
If X and Y are independent and identically distributed uniform random variables on (0, 1), compute the joint density of
a) U=X+Y, V=X/Y;
b) U=X, V=X/Y;
c) U=X+Y, V=X/(X+Y).