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2. (a) If the events E and F are independent, then so are Es and Fc. (b) The events ? and () are, respectively, independent

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2. (a) If the events E and F are independent, then so are Es and Fc. (b) The events ? and () are, respectively, independent of any event E. (c) Is there an event which is independent of itself? (d) Let E and F be two disjoint events and define a random variable X = I(E) + 21(F). Construct the generated sigma-filed by X

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