Actuarial Notes

SOA Exam FAM Sample Question 58

Study guide: Exam FAM

Aggregate losses are modeled as follows:

(i) The number of losses has a Poisson distribution with \lambda = 3.

(ii) The amount of each loss has a Burr distribution with \alpha = 3, \theta = 2, \gamma = 1.

(iii) The number of losses and the amounts of the losses are mutually independent.

Calculate the variance of aggregate losses.

  • A) 12
  • B) 14
  • C) 16
  • D) 18
  • E) 20

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