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1. Time until death, T, has a survival function, S(t) = e t, where > 0. Please answer the following questions. (25 pts) (a) Show

1. Time until death, T, has a survival function, S(t) = e t, where > 0. Please answer the following questions. (25 pts) (a) Show that the mean of T is greater than the median of T. (6 pts) (b) Calculate the hazard and cumulative hazard functions of T. (6 pts)

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