Actuarial Outpost Percentiles and Probability Question
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 Long-Term Actuarial Math Old Exam MLC Forum

#1
02-03-2019, 04:51 PM
 SweepingRocks Member SOA Join Date: Jun 2017 College: Bentley University (Class of 2019ish) Posts: 196
Percentiles and Probability Question

https://imgur.com/a/ES4nQlg

That link is to the question I'm having an issue with and the answer.

Since we're looking for the 90th percentile and the benefit only pays between 2 and 10, wouldn't we need to find:

[Integral f(t) between 2 and h]/[Integral f(t) between 2 and 10]=.1

Then solve for h to find the 90th percentile? I don't understand why we aren't adjusting for the fact that we're finding the 90th percentile in between two intervals when there's the probability of having no claim when t<2 or t>10.

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