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In: Statistics and Probability

Assume that a sample X = {Xj : 1 ≤ j ≤ 10} of size n...

Assume that a sample X = {Xj : 1 ≤ j ≤ 10} of size n = 10 was drawn from the uniform distribution on the interval (0 < x < 4). Let X[k] denote the k th order statistic based on this sample. 1. Evaluate expected value of X[5] 2. Derive conditional expectation of X[5], given that X[10] = 3.

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