6.88 Suppose that the length of time Y it takes a worker to complete a certain task has the probability density function given by -{0.00 0, f(y) = elsewhere, where is a positive constant that represents the minimum time until task completion. Let Y₁, Y₂,..., Y, denote a random sample of completion times from this distribution. Find a the density function for Y(1) = min(Y₁, Y2, ..., Yn). b E(Y()).

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