Actuarial Notes

SOA Exam P Sample Question 633

Study guide: Exam P-1

An insurance company sells auto policies to a trucking company and a shuttle service. The number of auto claims filed by the trucking company and the number of auto claims filed by the shuttle service are independent Poisson random variables having variances 2 and 3 respectively.

Calculate the probability that the trucking company files exactly 6 auto claims, given that the trucking company and the shuttle service together file a total of 8 auto claims.

  • A) 0.003
  • B) 0.012
  • C) 0.041
  • D) 0.054
  • E) 0.184

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