Question: 2. Let X1, ..., Xn be a random sample from some (discrete or continuous) probability distribution and let X(1), ..., X(n) denote the corresponding set

2. Let X1, ..., Xn be a random sample from some (discrete or continuous) probability distribution and let X(1), ..., X(n) denote the corresponding set of order statistics. For the following statements decide whether they are generally true or not. If they are generally true (for any distribution), explain why. If they are not generally true, find a counterexample, i.e., a specific example in which the statement is not true. n n (a) EE[Xi = EE[X(] n n (b) E Var [Xi] = E Var [X(3] =1

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