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# Thread: Fall 2008 #11, 13, 18, and 24

1. ## Fall 2008 #11, 13, 18, and 24

11. really no idea how to deal with the two sets when looking for the mean; so no clue how to find the test stat. I am guessing that the t-dist is used with 22 d.f. once you have a test stat
13. i bet this is intended to be a freebie, but for whatever reason it has me puzzled.
18. not sure how to implement m; i guessed just taking 100/900 to get .111, which gives the right answer, but i don't have any justification for that
24. did a ton of work messing with recursions, but never calculated any values (V, premium, nor p!)

Any guidance in these problems would be helpful.

2. This should help you with some http://www.actuarialoutpost.com/actu...=165197&page=2 (11 and 24 I think)

13 is done by recursion, e_x = 5, e_{x+1} = 4.53 and you need q_x

the recursion is e_x = e_{x:1} + p_{x}e_{x+1}, now e_{x:1} = p_{x} so you really have e_{x} = p_{x}(1 + e_{x+1}} i.e. 5 = 5.53*p_{x} which gives you p_{x} = .9041591320which implies that q_{x} = .095840868 which is D