Functions of random variable and their expected value

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cappadonza
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suppose we have random variable defined a function of another random variable such that [tex]Y = \mathbb{E}(X)[/tex]
it seem then [tex]Y[/tex] is a constant. then [tex]\mathbb{E}(Y) = \mathbb{E}(X)[/tex] does this even make sense ?
 
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If Y=E(X), then it is constant. Calling Y a random variable doesn't make sense. What is the context?