What is the formula for E[Y|X=x] if you already have fx(x) and f(x,y)?

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I just need the formula. Thanks in advance.

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The conditional density $f(y\mid x) = f(x,y)/f(x)$.

Then $\Bbb E[Y\mid X=x] = \int_\Bbb R y\,f(y\mid x)\,\mathrm dy$