Actuarial Notes

SOA Exam P Sample Question 224

Study guide: Exam P-1

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 f(t) that is symmetric about t = 6.5 and proportional to 1/(t + 1) 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.

  • A) 4.01
  • B) 7.80
  • C) 8.99
  • D) 10.22
  • E) 10.51

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