Question: Problem 3: Examples or not? Give an example of the requested object (and justify why it is an example) or justify why such an object

Problem 3: Examples or not? Give an example of the requested object (and justify why it is an example) or justify why such an object does not exist. (1) A discrete uniform distribution on an infinite sample space. (2) An event that is independent of itself. (3) A random variable whose expectation exists (is finite) but whose variance does not exist (is infinite)

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