Actuarial Notes

SOA Exam P Sample Question 306

Study guide: Exam P-1

An insurance company sells 40% of its renters policies to home renters and the remaining 60% to apartment renters. Among home renters, the time from policy purchase until policy cancellation has an exponential distribution with mean 4 years, and among apartment renters, it has an exponential distribution with mean 2 years.

Calculate the probability that the policyholder is a home renter, given that a renter still has a policy one year after purchase.

  • A) 0.08
  • B) 0.27
  • C) 0.46
  • D) 0.56
  • E) 0.66

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