I really need help with this question.
the density function is for x,y>0
the question is to calculate p(X>Y) and
the hint they give is:
[you will need to calculate a double integral over the area(y>0,x>y)]
= 0.6321 =p(x>y) ?
= 0.3679 = p(x>y) ?
I am basically confused as to whether integrating from 0 to y for dx and 0 to infinity for dy works and if it follows the hint at all. the answer doing so gives 0.6321. I am also thinking that the answer should be 1 minus this using the principle p(x>y)-1-p(y<x) which I am almost certain doesnt follow the hint. Is my first method corret? as you can clearly see i dont know what integrating using my first method represents. I was under the impression it should equal 1, although this clearly can't be the answer.
any ideas what I should do? thanks