If the random variables X and Y have the joint pdf:

f (x, y)= { 2e^-x-y for 0<x<y, 0<y<∞

0, elsewhere

Show that X and Y are dependent.

Please help me...

Printable View

- April 27th 2010, 01:39 PMatalayIndependent Random Variable (exponential function)
If the random variables X and Y have the joint pdf:

f (x, y)= { 2e^-x-y for 0<x<y, 0<y<∞

0, elsewhere

Show that X and Y are dependent.

Please help me... - April 27th 2010, 02:56 PMAnonymous1
Find the marginals and show that their product != f(x,y).

Do you know how to find the marginal distributions?

...You could also simply use a factorization argument. - April 27th 2010, 03:29 PMatalay
Yes, i know marginals, but i have a problem that i do not know integrals' lower limit and upper limit.

- April 27th 2010, 03:54 PMAnonymous1
- April 27th 2010, 04:09 PMatalay
i am thinking correctly but i do not trust me.

thank you.