Actuarial Notes

SOA Exam P Sample Question 646

Study guide: Exam P-1

A car rental insurance policyholder rents a car for seven days. For any day, the probability that the policyholder has no claims is a constant r. The occurrences of claims on different days are mutually independent.

Determine the probability that the policyholder has at least one claim during the seven-day rental period.

  • A) r^7
  • B) (1-r)r^6
  • C) 7(1-r)r^6
  • D) 1 - r^7
  • E) (1-r)^7

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