Suppose that the length of time Y it takes a worker to complete a certain task has the

Chapter 6, Problem 6.88

(choose chapter or problem)

Suppose that the length of time Y it takes a worker to complete a certain task has the probability density function given by f (y) = $ e(y), y > , 0, elsewhere, where is a positive constant that represents the minimum time until task completion. Let Y1, Y2,..., Yn 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(1)).

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