Math 472 Spring 2011 Chapter 9 Lecture Examples

Math 472 Spring 2011 Chapter 9 Lecture Examples - MATH...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
MATH 472/567: Actuarial Theory II/Topics in Actuarial Theory I Chapter 9: Lecture Examples 1. You are given: (i) (x) and (x + 3) are independent lives. (ii) 6 q x = 0.20 Calculate the probability that (x) and (x + 3) both survive the next 3 years. 1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
2. You are given: (i) (25) and (35) are independent lives. (ii) Each life has mortality that follows de Moivre’s Law with limiting age 100. (iii) Both (25) and (35) were born on January 1. Calculate the probability that both (25) and (35) will die in the same calendar year. 2
Background image of page 2
3. Consider two independent lives: a 30 year old male and a 28 year old female. (i) The age-at-death for males follows a uniform distribution on [0, 100]. (ii) The age-at-death for females follows a uniform distribution on [0, 110]. (a) Calculate the probability that both (30) and (28) survive the next 20 years. (b) Determine the expected time until the first death of (30) and (28). (c) Find μ 30:28 (20). (d) Determine an expression for the pdf of T (30 : 28). 3
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
4. For a population of smokers and non-smokers: (i) Non-smokers have a force of mortality that is equal to one-half of the force of mortality for smokers at each age. (ii) For non-smokers:
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 20

Math 472 Spring 2011 Chapter 9 Lecture Examples - MATH...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online