- #1
Jonobro
- 7
- 0
The Question
Let X and Y be two independent Geometric(p) random variables. Find E[(X^2+Y^2)/XY].
Formulas
Px(k) = py(k) = pq^(k-1)
E(x) = Σx(p(x))
My attempt at a solution
I am really struggling with this question because I want to apply the LOTUS equation but am unsure how to do it for geometric variables. Any help would be appreciated.
Let X and Y be two independent Geometric(p) random variables. Find E[(X^2+Y^2)/XY].
Formulas
Px(k) = py(k) = pq^(k-1)
E(x) = Σx(p(x))
My attempt at a solution
I am really struggling with this question because I want to apply the LOTUS equation but am unsure how to do it for geometric variables. Any help would be appreciated.