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Latest revision as of 17:31, 23 May 2023
A large university will begin a 13-day period during which students may register for that semester’s courses. Of those 13 days, the number of elapsed days before a randomly selected student registers has a continuous distribution with density function [math]f(t)[/math] that is symmetric about [math]t = 6.5 [/math] and proportional to [math]1/(t + 1)[/math] between days 0 and 6.5.
A student registers at the 60th percentile of this distribution.
Calculate the number of elapsed days in the registration period for this student.
- 4.01
- 7.80
- 8.99
- 10.22
- 10.51
Copyright 2023. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.