can someone help with the following question

Question

anonymous · Answer

okay

anonymous · Answer

f(x,y)=$$\left\{ 4xy  ,0<x<1 \right\}$$
find the joind density of  w=x^2  and  z=xy

anonymous · Answer

oh maybe not what class is this for?

anonymous · Answer

math stats

anonymous · Answer

this is mathametical stat .plz help

anonymous · Answer

I'm trying to learn right now so hopefully someone more knowledgable comes along.

anonymous · Answer

u can help u r welcom

amistre64 · Answer

stats aint a strong point for me ...

anonymous · Answer

okay so far I know very little are w and z dependent functions? or am I misunderstanding the meaning of dependenent and independent.

anonymous · Answer

?

anonymous · Answer

yeah I have been trying to understand this but I think this is way over my head. I am just shooting in the dark here but are you supposed to somehow combine w and z into one function and then take the integral btw 0 and 1? If you solve the problem I would be really interested in hearing the answer. Hopefully someone else comes along.

anonymous · Answer

I only ever looked at addition of random variables, let me see if I can find out how to do it....

anonymous · Answer

me too i'm still trying but gives me a tough time

anonymous · Answer

Just to be clear, the 4xy is a joint pdf for rv's X and Y, right?

anonymous · Answer

yes

anonymous · Answer

Does this sound right to you (sorry if it doesn't, this is out of my comfort zone)

get the cdf  (of w and z) and differentiate to get the density

anonymous · Answer

Anyway, I found the procedure in this document http://www.ece.rochester.edu/courses/ECE270/handout13.pdf (In the middle "Two functions of two continuous rvs")