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E(g(X)) = Z g(x)dF(x) = Z g(x)dP(x) = (R 1 1 g(x)p(x)dx if Xis continuous P j g(x j)p(x j) if Xis discrete Recall that 1 Linearity of Expectations E P k j=1 c jg j(X) = P k j=1 c jE(g j(X)) 2 If X 1;;X n are independent then E Yn i=1 X i!In ring theory, a branch of abstract algebra, an ideal of a ring is a special subset of its elements Ideals generalize certain subsets of the integers, such as the even numbers or the multiples of 3 Addition and subtraction of even numbers preserves evenness, and multiplying an even number by any other integer results in another even number;ç ¼ ¶ Ë å Ú Ó Î Í î >` z ® Ê >_ ' ; Leon Voet The Golden Compasses Dbnl Language And Literature Claude The Golden Compass âŒi ŽR •ÇŽ† ƒXƒ}ƒz
