Actuarial Notes

CAS Exam MAS-I Fall 2018, Question 3

Study guide: Exam MAS-I

You are given the following information regarding two portfolios of ABC Insurance Company:

  • Claims in Portfolio 1 occur according to a Poisson process with a rate of four per year
  • Claims in Portfolio 2 occur according to a Poisson process with a rate of two per year
  • The two Poisson processes are independent

Calculate the probability that three claims occur in Portfolio 1 before three claims occur in Portfolio 2.

  • A) Less than 0.755
  • B) At least 0.755, but less than 0.765
  • C) At least 0.765, but less than 0.775
  • D) At least 0.775, but less than 0.785
  • E) At least 0.785

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Concepts tested

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