Prove that any sequence that converges in the mean square, Basic Statistics

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Prove that any sequence that converges in the mean square

(a) Prove that any sequence that converges in the mean square sense must also converge in probability. Hint: Use Markov's inequality.

(b) Prove by counterexample that convergence in probability does not necessarily imply convergence in the mean square sense.

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Basic Statistics: Prove that any sequence that converges in the mean square

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Basic Statistics: Prove that any sequence that converges in the mean square

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