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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.

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# Find E[(X^2+Y^2)/XY]

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