Actuarial Notes

SOA Exam P Sample Question 15

Study guide: Exam P-1

An insurance company determines that N, the number of claims received in a week, is a random variable with P[N = n] = \dfrac{1}{2^{n+1}} where n \geq 0. The company also determines that the number of claims received in a given week is independent of the number of claims received in any other week.

Calculate the probability that exactly seven claims will be received during a given two-week period.

  • A) 1/256
  • B) 1/128
  • C) 7/512
  • D) 1/64
  • E) 1/32

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