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Tutorial_2

# Tutorial_2 - d dt t p x Consider the dierence between these...

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Name: userid: ACTSC 232 – Winter 2011 Tutorial #2 – Jan 17, 2011 1. You are given the following information: 3 p 51 = 0 . 9126 , 2 q 50 = 0 . 0298 , q 52 = 0 . 0300 , 2 p 52 = 0 . 9312 . (a) Find the numerical values of the following quantities (and also make sure you understand the interpretation of each): i. p 52 ii. 4 p 50 iii. p 51 iv. 2 | 2 q 50 v. 3 | q 50 (b) Using the above information, fill in the blank entries of the following life table: x x d x 50 51 52 53 54 9,034.50 . . . . . . . . . 1

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2. Show that d dx t p x = t p x ( μ x - μ x + t ). Now recall that in class we found an expression for
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Unformatted text preview: d dt t p x . Consider the dierence between these two derivatives ( d dx t p x and d dt t p x ), in particular making sure you under-stand the diering interpretations of them. That is, these two derivatives are measuring two dierent rates of change; think about how they dier. (No need to write anything for this here, just discuss with your partner.) 2...
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