the lower bound on that last integral is y
The region is 0<y<x<2.
I have a pdf of two random variables given as if , and 0 otherwise.
I found out the value of K by integrating the pdf equal to 1, that is:
and got k = 1/2
then I found of the marginal pdf of x by:
but when I tried to find the marginal pdf of y by doing:
, I am getting infinity!!
Is that correct or did I make a mistake while finding the marginal pdf of Y??