This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Name: userid: ACTSC 232 – Winter 2011 Tutorial #1 – Jan 10, 2011 1. Consider a proposed survival function S ( t ) = 1 10 √ 100 t, ≤ 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.) Answer: i. S (0) = 1 10 √ 100 0 = 1 10 · 10 = 1 . ii. S (100) = 1 10 √ 100 100 = 0, so all lives die by age 100. iii. d dt S ( t ) = d dt 1 10 √ 100 t = 1 10 · ( 1 2 ) (100 t ) 1 / 2 ≤ ∀ t ∈ [0 , 100] . Thus all of the required conditions are met. (b) Find the probability that a newborn dies between the ages of 10 and 20. Answer: S (10) S (20) = 1 10 √ 100 10 1 10 √ 100 20 = 0 . 949 . 894 = 0 . 054 . (c) Find the probability that a 30year old lives to at least age 60. Answer: Here we must find the probability that a newborn lives to age 60, conditioned on the fact that they lived to at least age 30....
View
Full
Document
This note was uploaded on 01/27/2011 for the course ACTSC 232 taught by Professor Matthewtill during the Winter '08 term at Waterloo.
 Winter '08
 MATTHEWTILL

Click to edit the document details