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Tut3Sol - ACTSC 232 SPRING 2010 TUTORIAL 3 First(given Name...

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Unformatted text preview: ACTSC 232 - SPRING 2010 - TUTORIAL 3 First (given) Name: ‘2: ZLV—l— [0 N S Last (family) Name: ID #: UserID: All questions use the Illustrative Life Table handed out in class. I 1. Which of the following is least likely and most likely to happen to a life age 40? fit} I (151's. ‘ _ 2251.3. ~ 31) The life dies before reaching age 42. 27% W— : 1331:? (it A 0.005 #5 ( (b) The life dies between age 41 and 42. ll‘i‘fo _ Chi/l.“ ‘ 2‘76 OlZ7l_ 0 OOZQSUK may} ( . Z ' was!“ ‘ hula c) The life survives to age 100. “Fla : st ' 490. “H 1 OTOO‘fBO [To Kat’sufi (d) The life dies between age 98 and 100 A mass CH? é§~ $00.4? ' 7 53 [Z 8 : ;_‘___‘,___A_ : \k ”it 110 _ 6mg.” 050008 flail . 2. Fractional age assumptions , j (a) Assuming uniform distribution of deaths within each year of age, calculate Cl {'0 c) _ 1031050 -l'”oaci$a : I‘OS (152:: "’D"7:—B( " 06161222} 'cl 5* 1i-4.3q50 ~ l ‘ *3 P5? ‘- l “(aPSoYoano 1 l“ K? To ‘ 0%(7fi)> 100230216 iii. 4.3(150.6 : l - 113%:“6: l‘ 1h“! 1;]: ; i ._ 3EWZ‘“ Dolls") : 0030392, ° 4 1 ~ C) o (b) Repeat (a) using assuming constant force of mortality within each yea?)of age ~ ~ ( < (3:: 1— 61222.0 1. (a .3?5:; -* ?So)m * 9 q 3 ii. . “(10 ; ~ quo(”>:+)°' : _ £1 flog”) : 0.023323 . M; k _ 0‘? o. H . waclsoe ll <v‘i?so 9X3 'Fls1)(uaPsa>s; l “(?§o\) 3F51(?s+) ‘1: 00303?) 3. Calculate (to two decimal places) 1113 ~10;- ‘ 10, g I ,_ . m 1- m a (a) The curtate expectation of life for (100). €100 “ Z KFEDV ’ I: + Iii” + + £31 . co [9.5 (b) The median future lifetime of (60). . t \ LZQ, We (arc \eoldrfl For m sock Hasn‘t M 6.1: 1 “PPM: : U 5- 5° W— W“ Eco—1M I 0‘5 £10 ‘1 osmvatOFts = Lioot‘tmes _ Vilma: M 15 loo-MW l‘\ W LC) (Si/Lea flqq< fiefitloggg4flgg) Vt 0 1s _ ”iZZSl.éZ— 300130.365 1 , l'JTe/FY\ 4M3) M7 ‘0‘ + Lizzswla 301111567 ‘ MHZ ...
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