Actuarial Notes

SOA Exam FAM Sample Question 42

Study guide: Exam FAM

For a collective risk model:

(i) The number of losses has a Poisson distribution with \lambda = 2.

(ii) The common distribution of the individual losses is:

x f_X(x)
1 0.6
2 0.4

An insurance covers aggregate losses subject to a deductible of 3.

Calculate the expected aggregate payments of the insurance.

  • A) 0.74
  • B) 0.79
  • C) 0.84
  • D) 0.89
  • E) 0.94

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