Actuarial Notes

CAS Exam MAS-I Fall 2018, Question 18

Study guide: Exam MAS-I

An exponential distribution is fitted to the loss size data below using the method of moments.

Interval Number of Observations
(0, 100] 5,000
(100, 500] 3,000
(500, 1000] 1,500
(1000, 5000] 500

Losses are assumed to follow a uniform distribution within each interval.

Calculate the fitted probability of a loss exceeding 500.

  • A) Less than 0.15
  • B) At least 0.15, but less than 0.25
  • C) At least 0.25, but less than 0.35
  • D) At least 0.35, but less than 0.45
  • E) At least 0.45

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