Suppose X has survival function defined by 1 S(x) = (100-x)/2, for 0 x 100. (1) Compute the probability that a newborn will die between the ages 80 and 85. (2) Find 1000(90). 2. In actuarial applications, u is often modeled using the following functions: (x) = B. c, x 0, B> 0, c>1. [Gompertz] (x) = A +B. c, x 0, B > 0, c> 1, A2-B. [Makeham] (x) = kx", x > 0, B > 0, k> 0, n > 1. [Weibull] Determine S(r) for Gompertz, Makeham, and Weibull distributions correspondingly.