Thread: 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

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

Read this: http://www.math.ntu.edu.tw/~hchen/te.../lecture23.pdf

(Definition 4.2.3 tells you how to answer part (a)).

See also Conditional Distributions

If you need more help, please show what you've done and say where you get stuck.