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Converge in probability Consider a sequence X1, X2, X3 . . . of random variables. Suppose that the range of Xn is the set {0,

Converge in probability

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Consider a sequence X1, X2, X3 . . . of random variables. Suppose that the range of Xn is the set {0, i, %, . . . , 7171}, for n E N, and it takes each of these values with probability %. Then the sequence always converges in probability to a uniform random variable

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