Actuarial Notes

SOA Exam P Sample Question 37

Study guide: Exam P-1

A company prices its hurricane insurance using the following assumptions:

  • (i) In any calendar year, there can be at most one hurricane.
  • (ii) In any calendar year, the probability of a hurricane is 0.05.
  • (iii) The numbers of hurricanes in different calendar years are mutually independent.

Using the company's assumptions, calculate the probability that there are fewer than 3 hurricanes in a 20-year period.

  • A) 0.06
  • B) 0.19
  • C) 0.38
  • D) 0.62
  • E) 0.92

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