Hi

I am really stuck on how to work out this maths problem. Could someone give me a bit of guidance on how to get it started.

Let f(x1, x2) = 4x1x2, 0 < x1 < 1, 0 < x2 < 1,

= 0 elsewhere.

I need to find this below

P(x1 = x2)

Thank you

Printable View

- June 1st 2010, 05:19 AMlh1188Joint PDFs
Hi

I am really stuck on how to work out this maths problem. Could someone give me a bit of guidance on how to get it started.

Let f(x1, x2) = 4x1x2, 0 < x1 < 1, 0 < x2 < 1,

= 0 elsewhere.

I need to find this below

P(x1 = x2)

Thank you - June 1st 2010, 05:32 AMmr fantastic
- June 1st 2010, 05:52 AMlh1188
That was the next question that we were given.

I have the answer to the question so I knew it was 0 but I do not know why.

For some reason we have limited information regarding this in our notes and as I have very limited statistical knowledge it is proving rather difficult to work out.

If you could give me a bit of guidance it would be very appreciated as I have an economics exam tomorrow! - June 1st 2010, 05:58 AMmr fantastic
- June 1st 2010, 06:02 AMlh1188
Thank you for your help!

- June 1st 2010, 04:40 PMmatheagle
also by inspection the two rvs are independent with densities

2x1 and 2x2 on (0,1)