Question: Is it possible to have a positive random variable X satisfying P(X 2 2) = 0.6 and E[X] = 1? If yes, provide an example

Is it possible to have a positive random variable X satisfying

Is it possible to have a positive random variable X satisfying P(X 2 2) = 0.6 and E[X] = 1? If yes, provide an example of such a random variable: if not, explain why not

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