Problem 1. You are given the following information on the survival of a population.' time survived 50 26 0 Assume that deaths/termination/mortality is uniformly distributed between dates. (1) Determine the cumulative distribution, probability density, and hazard rate func- tions. (2) A study suggests that a new hazard function h* (t) is effective to this population prior to time 1, such that h*(t) = a+0.It, for t