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Suppose (9, 9i) is the space {1, 2, 3, 4} with maximal (Jralgebra (9 and IF' = Unif({1,2,3,4}). Let X : o > o be

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Suppose (9, 9i\") is the space {1, 2, 3, 4} with maximal (Jralgebra (9" and IF' = Unif({1,2,3,4}). Let X : o > o be the function X(1)=1, X(2)=4, X(3)=1, X(4)=4. Then X is a random variable from (X, 9) > (X , 9 ) Find the follow ing with proof: (a) 000, meaning the oralgebra generated by X. (b) IEX. (o) EX

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