Suppose that X₁, X2, ka)=P(X = _k) =1/2. Let Yn = Xn = n 2 Xi. are independent, such that, for each k ≥ 1, P(Xk = i) Use Chebyshev's inequality to show that, if a ≤ 0, then Y₁ ²0. ii) Does Yn still converge in probability if a = 1?

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