Suppose that P(X = 1) = P(X = -1) = 1/2. Define Xn = X with probability 1 - 1 S en with probability Does
Suppose that P(X = 1) = P(X = -1) = 1/2. Define Xn = X with probability 1 - 1 S en with probability Does Xn converge to X in probability? Does Xn converge to X in dis- tribution? Does E(X - Xn )2 converge to 0
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