- #1

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**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.