Actuarial Notes

SOA Exam P Sample Question 23

Study guide: Exam P-1

The number of injury claims per month is modeled by a random variable N with

P[N = n] = \frac{1}{(n+1)(n+2)} for nonnegative integers n.

Calculate the probability of at least one claim during a particular month, given that there have been at most four claims during that month.

  • A) 1/3
  • B) 2/5
  • C) 1/2
  • D) 3/5
  • E) 5/6

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