Unformatted text preview: The graph of a piecewise survival function S ( x ) consists of 3 line segments with end-points (0 , 1), (25 , . 50), (75 , . 40), (100 , 0). Calculate 20 | 55 q 15 55 q 35 . 4. Assume that the force of mortality for a survival model is given by μ x = 1 110-x . (a) Find the survival function S ( t ) corresponding to this force of mortality, simpli-fying as far as possible. (b) What is the limiting age ω for this model? (c) Sketch the survival function S ( t ). (d) Find the density function f ( t ). (e) What do you notice about this survival model? (In particular, assess its suitability as a survival model for human mortality). 1...
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- Fall '08
- Probability distribution, Probability theory, Cumulative distribution function, 40 years, µx