This question's been killing me for hours.
My assumption is that when they ask for the density of X they're asking for the marginal density function f(x). In this case you would take the integral of f(x,y) over all values of y, or in other words, the integral of f(x,y) from 0 to infinity. However, when I do this it becomes infinity. The same goes for trying to compute the density of Y.
Could somebody show me what I'm doing wrong?
Originally Posted by bzgeb
This question's been killing me for hours.
My assumption is that when they ask for the density of X they're asking for the marginal density function f(x). In this case you would take the integral of f(x,y) over all values of y, or in other words, the integral of f(x,y) from 0 to infinity. However, when I do this it becomes infinity. The same goes for trying to compute the density of Y.
Could somebody show me what I'm doing wrong?
are u sure f(x,y) is not equal tofor x,y>0
f(x, y) is equal toare u sure f(x,y) is not equal to
that's not what you wrote...check your first post. withf(x, y) is equal to, the integrals converge.
p.s. Im leaving the computation to u...if you like ill post the answers.
This is embarrassing, I'm sorry I misread your reply. I took a screenshot of the assignment directly so it's definitely. However, now that you bring that up I'm starting to wonder if there's a typo in the assignment.
i think so...the marginal denisty of X is undefined otherwise.
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