Question: Let n be odd, and let X = (X1, . . . , Xn) be a sample of size n from some distribution. Suppose that

Let n be odd, and let X = (X1, . . . , Xn) be a sample of size n from some distribution. Suppose that we wish to use the nonparametric bootstrap to estimate some feature of the sample median. Compute the probability that the sample median of a nonparametric bootstrap sample will be the smallest observation from the original data X.

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