Actuarial Notes

SOA Exam P Sample Question 198

Study guide: Exam P-1

At a mortgage company, 60% of calls are answered by an attendant. The remaining 40% of callers leave their phone numbers. Of these 40%, 75% receive a return phone call the same day. The remaining 25% receive a return call the next day.

Of those who initially spoke to an attendant, 80% will apply for a mortgage. Of those who received a return call the same day, 60% will apply. Of those who received a return call the next day, 40% will apply.

Calculate the probability that a person initially spoke to an attendant, given that he or she applied for a mortgage.

  • A) 0.06
  • B) 0.26
  • C) 0.48
  • D) 0.60
  • E) 0.69

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