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ACTSC-232-1065-Test1_exam

# ACTSC-232-1065-Test1_exam - constant ±nd the value of c...

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UNIVERSITY OF WATERLOO ACTSC 232 TERM TEST #1 SPRING 2006 TIME: 50 minutes 1. If s ( x ) = radicalBig 121 x 121 0 x 121, evaluate: (a) 32 p 40 , (b) 19 q 21 , (c) 15 | 13 q 57 , (d) μ 72 , (e) e 40 . 2. If q 70 = . 050 and q 71 = . 070, calculate the probability that (70) will die between ages 70 1 2 and 71 1 2 using: (a) the assumption that deaths are uniformly distributed within each year of age (b) the assumption that the force of mortality is constant within each year of age. 3. If the force of mortality μ x + t , 0 t 1 , changes to μ x + t - c where c is a positive
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Unformatted text preview: constant, ±nd the value of c for which the probability that ( x ) will die within one year will be halved? Express the answer in terms of q x . 4. The force of mortality for impaired lives is three times the standard force of mortality at all ages. The standard probability of mortality at age 95 is .2, at age 96 is .3 and at ate 97 is .4. What is probability that an impaired life aged 95 will live at age 98? 1...
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