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11. Let X1, . . . , Xn be an iid sample from the PDF f(x | ) = x2 for 0 < x. (a)

11. Let X1, . . . , Xn be an iid sample from the PDF f(x | ) = x2 for 0 < x. (a) Show V (X, ) = /X(1) is a pivotal quantity and find its distribution. (b) Find the quantile function v = G1 (t) for 0 < t < 1. (c) Find the 100% interval for

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