Prove that X is a Random Variable IFF sigma field generated by X is countably generated.
countably generated sigma algebra
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probability
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2This community does not respond very well to commands. Perhaps you should include the work you've done so far? Otherwise it just seems like you're expecting us to do the work for you – 2010-11-17
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6Perhaps you misconstrued the "prove" as a command. My rationale for the succinctness was a respect for what seems like a "serious" math community. Hence zero formalities to save everyones time. And no I am not looking for anyone to spoon feed me the answers, hints would be much appreciated.If anyone is offended, my apologies. If it helps, Please read the question as "Please Prove...." – 2010-11-17