Math Help - Marginal and joint pdf

1. Marginal and joint pdf

Im a bit stuck on this one

Let X have a uniform ditribution on the interval (0,1). Given X=x, let Y have a (conditional) uniform distribution on the interval (0,2x)

a) Determine f(x,y), the joint pdf of X and Y.
b) Find , the marginal pdf of Y

thanks

2. Originally Posted by lpd
Im a bit stuck on this one

Let X have a uniform ditribution on the interval (0,1). Given X=x, let Y have a (conditional) uniform distribution on the interval (0,2x)

a) Determine f(x,y), the joint pdf of X and Y.
b) Find , the marginal pdf of Y

thanks