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Suppose that a point X1 is chosen from the uniform distr

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Suppose that a point X1 is chosen from the uniform distribution on the interval [0, 1], and that after the value X1 = x1

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Suppose that a point X1 is chosen from the uniform distribution on the interval [0, 1], and that after the value X1 = x1 is observed, a point X2 is chosen from a uniform distribution on the interval [x1, 1]. Suppose further that additional variables X3, X4,... are generated in the same way. In general, for j = 1, 2,..., after the value Xj = xj has been observed, Xj+1 is chosen from a uniform distribution on the interval [xj , 1]. Find the value of E(Xn).

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