$E \left( Y \mid X _ { 1 } , \ldots , X _ { k } \right) = \operatorname { Pr } \left( Y = 1 \mid X _ { 1 } , \ldots , X _ { k } \right)$

Multiple Choice

$E \left( Y \mid X _ { 1 } , \ldots , X _ { k } \right) = \operatorname { Pr } \left( Y = 1 \mid X _ { 1 } , \ldots , X _ { k } \right)$
means that

A) for a binary variable model, the predicted value from the population regression is the probability that Y=1 , given X .
B) dividing Y by the X 's is the same as the probability of Y being the inverse of the sum of the X 's.
C) the exponential of Y is the same as the probability of Y happening.
D) you are pretty certain that Y takes on a value of 1 given the X 's.