Actuarial Notes

SOA Exam FAM Sample Question 51

Study guide: Exam FAM

For an insurance:

(i) The number of losses per year has a Poisson distribution with \lambda = 10.

(ii) Loss amounts are uniformly distributed on (0, 10).

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

(iv) There is an ordinary deductible of 4 per loss.

Calculate the variance of aggregate payments in a year.

  • A) 36
  • B) 48
  • C) 72
  • D) 96
  • E) 120

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