Suppose X has survival function defined by 1 S(x) = (100-x)/2, for 0 x ...

 

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

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