1. ## Conditional Densities Question

If fx,y(x,y) = 2, x greater than or equal to 0, y greater than or equal to 0, and x+y is less than or equal to 1:

show that the conditional pdf of Y given x is uniform

2. $f_X(x)=\int_0^{1-x}2dy=2(1-x)$ on 0<x<1, which is a valid density, it's a beta

so

$f(y|x)={f(x,y)\over f(x)}={1\over 1-x}$ on 0<y<1-x.

Which is CONSTANT on the interval (0,1-x)