Suppose that X1, . . . ,Xn are i.i.d. random variables, each having the following c.d.f.:

Let Y1 = min{X1, . . . ,Xn} and Yn = max{X1, . . . ,Xn}. Determine the conditional p.d.f. of Y1 given that Yn = yn.

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for x < 0. for x > F(x) = 1-e forxo. 1-e-x