Actuarial Notes

SOA Exam P Sample Question 86

Study guide: Exam P-1

The amounts of automobile losses reported to an insurance company are mutually independent, and each loss is uniformly distributed between 0 and 20,000. The company covers each such loss subject to a deductible of 5,000.

Calculate the probability that the total payout on 200 reported losses is between 1,000,000 and 1,200,000.

  • A) 0.0803
  • B) 0.1051
  • C) 0.1799
  • D) 0.8201
  • E) 0.8575

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