6. You are given the following excerpt from a three-decrement table: You are also given that decrement 1 occurs exactly one-third of the way through the year, that decrement 2 is uniformly distributed in the multiple decrement model, and that decrement 3 is uniformly distributed in the multiple decrement model over the first half of the year, with no exits during the second half of the year. (a) Calculate 0.8p6000. (b) Calculate 0.4p6000. (c) Calculate the probability that a life exits by decrement 3 given that the life exits during the first 0.4 years