Thread: Joint pdf Problem

Hi,

I have been given a joint pdf for 2 random variables:

f(x,y) = k - y , 0 < y < < 1

and am trying to find the value of the constant k. I was just wondering if anyone could tell me whether i have set up the integral correctly. This is how i have set it up:



any help would be really apprectiated

Originally Posted by Number Cruncher 20

Hi,

I have been given a joint pdf for 2 random variables:

f(x,y) = k - y , 0 < y < < 1

and am trying to find the value of the constant k. I was just wondering if anyone could tell me whether i have set up the integral correctly. This is how i have set it up:



any help would be really apprectiated

Your set up is correct.

Thanks for the help!

Originally Posted by Number Cruncher 20

Hi,

I have been given a joint pdf for 2 random variables:

f(x,y) = k - y , 0 < y < < 1

and am trying to find the value of the constant k. I was just wondering if anyone could tell me whether i have set up the integral correctly. This is how i have set it up:



any help would be really apprectiated

My mistake .... the red 2 should be there.

Thanks for the help. I think ive got it now.

Hello. Could you explain please why the red 2 should be there? Could you post the calculation of the integral? Thanks in advance

Originally Posted by dely84

Hello. Could you explain please why the red 2 should be there? Could you post the calculation of the integral? Thanks in advance

Yeah, I didn't think the 2 was needed, but rather what you did in the first place.

Originally Posted by dely84

Hello. Could you explain please why the red 2 should be there? [snip]

Originally Posted by Richnfg

Yeah, I didn't think the 2 was needed, but rather what you did in the first place.

. Therefore the region of the xy-plane for which the pdf is non-zero is the region bounded by x = -1, x = 1 and .

Originally Posted by dely84

[snip]Could you post the calculation of the integral? Thanks in advance

The integration is routine. What part can't you do?

Ah, I see!