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Let X be a Bernoulli(1/3) random variable, that is, 2 P(X = 1) = and P(X = 0) = For every n > 1 we

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Let X be a Bernoulli(1/3) random variable, that is, 2 P(X = 1) = and P(X = 0) = For every n > 1 we define Xn : = 1 + X. Show that the sequence {XninEN converges in probability to the random variable X

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