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Tutorial_1

# Tutorial_1 - 1 2 Assume that the force of mortality for a...

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Name: userid: ACTSC 232 – Winter 2011 Tutorial #1 – Jan 10, 2011 1. Consider a proposed survival function S 0 ( t ) = 1 10 100 - t, 0 t 100. (a) Verify that this is indeed a valid survival function. (That is, verify that it meets the three necessary conditions discussed in class.) (b) Find the probability that a newborn dies between the ages of 10 and 20. (c) Find the probability that a 30-year old lives to at least age 60. (d) Find the median lifetime length for a newborn. (e) Find an expression for the force of mortality, μ x , simplifying as far as possible.

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Unformatted text preview: 1 2. 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.) 2...
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