Actuarial Notes

SOA Exam P Sample Question 180

Study guide: Exam P-1

An insurance policy covers losses incurred by a policyholder, subject to a deductible of 10,000. Incurred losses follow a normal distribution with mean 12,000 and standard deviation c. The probability that a loss is less than k is 0.9582, where k is a constant. Given that the loss exceeds the deductible, there is a probability of 0.9500 that it is less than k.

Calculate c.

  • A) 2045
  • B) 2267
  • C) 2393
  • D) 2505
  • E) 2840

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