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Problem 1 (30 points). Prove the following claims and show your calculations. (a) Prove that EY] 1, we always have Pr[[X - EX| 2 Co]

Problem 1 (30 points). Prove the following claims and show your calculations. (a) Prove that EY] 1, we always have Pr[[X - EX| 2 Co] S ~z for o = Var(X) 26 30

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