Joint pdf - find C
The joint probability density function is:
The C is a constant.
The ranges are x<1, y<1, x+y>1
They're supposed to be less than or equal to, greater than or equal to.
I am trying to find what the constant C is.
I know the method as I have done similar questions before but this one doesn't seem to be working out for me.
My method: integrate , first with respect to y in between 1-x and 1.
This gives me
I find that odd already with the .
Then integrating again with respect to x between 0 and 1, I get
As the joint pdf equals one, this then gives me
Doesn't look right to me...
Can someone please point out where I went wrong?
The C is a constant.
The ranges are x<1, y<1, x+y>1
They're supposed to be less than or equal to, greater than or equal to.
I am trying to find what the constant C is.
I know the method as I have done similar questions before but this one doesn't seem to be working out for me.
My method: integrate , first with respect to y in between 1-x and 1.
This gives me
I find that odd already with the .
Then integrating again with respect to x between 0 and 1, I get
As the joint pdf equals one, this then gives me
Doesn't look right to me...
Can someone please point out where I went wrong?
Original post by Mathlete29
...
Agree with your limits.
After integrating wrt y, I get
and then after integrating wrt x, I get
Edit: Both times C, of course.
(edited 11 years ago)
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