1. Consider the lifetime T which has the probability mass function P(T = j) = 1/3, j = 1, 2, 3, a simple discrete uniform distribution. (a) (5 points) Compute and draw the corresponding survival function. (b) (5 points) Compute the corresponding hazard function. (c) (5 points) Compute the mean residual life, E(T t|T > t). (d) (5 points) Compute the mean lifetime, E(T).