Actuarial Notes

SOA Exam FAM Sample Question 84

Study guide: Exam FAM

You are given the following properties of the distribution of the annual number of claims, N:

i) P(N = k) = p_k, \quad k = 0, 1, 2, \ldots

ii) p_0 = 0.45

iii) \dfrac{p_n}{p_m} = \dfrac{m!}{n!} \quad for m \ge 1 and n \ge 1

Calculate the probability that at least two claims occur during a year.

  • A) 0.16
  • B) 0.18
  • C) 0.21
  • D) 0.23
  • E) 0.26

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