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.

Thank you in advance!