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a) Recall the relation between X and S in the definition of a random variable. Is it necessary for S to be the same as

a) Recall the relation between X and S in the definition of a random variable. Is it necessary for S to be the same as the space of X? b) Consider a discrete random variable X. Is X's space countable? Is S always countable? c) If ( ) > 0 P(AB)>0, does the overlap mean that A and B must be dependent

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