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## Main Question or Discussion Point

I have two random variables Y and X and Y is dependent of X, though X is not the only source of variability of Y. With fixed X=x, Y(x) follows gaussian law. X also follows gaussian law.

In what cases can I move from

E[ Y(X) ]

to

E[ Y(E(X))]

someone has any idea?

is there a text You recomend on the topic?

thanks..

In what cases can I move from

E[ Y(X) ]

to

E[ Y(E(X))]

someone has any idea?

is there a text You recomend on the topic?

thanks..