Let X and Y be random variables with for

Compute and

My solution:

For , I have

But I'm stuck here because I don't know what p(y) is.

Any help is appreciated, thank you!

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- Sep 1st 2011, 10:46 AMtttcomraderJoint Density expected values
Let X and Y be random variables with for

Compute and

My solution:

For , I have

But I'm stuck here because I don't know what p(y) is.

Any help is appreciated, thank you! - Sep 3rd 2011, 01:45 AMCaptainBlackRe: Joint Density expected values
- Sep 3rd 2011, 11:15 AMtttcomraderRe: Joint Density expected values
is the joint pdf, nothing else is given. Is then?

- Sep 3rd 2011, 11:29 AMCaptainBlackRe: Joint Density expected values
- Sep 3rd 2011, 11:38 AMtttcomraderRe: Joint Density expected values
Thank you! Now to find p(x), should I do this:

? - Sep 3rd 2011, 08:24 PMCaptainBlackRe: Joint Density expected values
- Sep 4th 2011, 11:32 PMmatheagleRe: Joint Density expected values
an exponential

a gamma

but where 0<x<y, which is a uniform

the center of that uniform