The Conditional Expectation of Y Given $X , E ( Y \mid X = x )$

The conditional expectation of Y given $X , E ( Y \mid X = x )$
is calculated as follows:

A) $\sum _ { i = 1 } ^ { k } y _ { i } \operatorname { Pr } \left( X = x _ { i } \mid Y = y \right)$
B) $E [ E ( Y \mid X ) ]$
C) $\sum _ { i = 1 } ^ { k } y _ { i } \operatorname { Pr } \left( Y = y _ { i } \mid X = x \right)$
D) $\sum _ { i = 1 } ^ { l } E \left( Y \mid X = x _ { i } \right) \operatorname { Pr } \left( X = x _ { i } \right)$

Correct Answer:

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