Actuarial Notes

SOA Exam FAM Sample Question 92

Study guide: Exam FAM

You are given:

(i) Claim frequency follows a Poisson distribution.

(ii) Claim frequency and claim severity are independent.

(iii) The probability density function of claim severity is

f(x) = \frac{3(100)^3}{x^4}, \quad x > 100

Calculate the expected number of claims needed so the observed total cost of claims is within 5% of the true value with probability 0.95.

  • A) 1444
  • B) 1537
  • C) 2049
  • D) 3586
  • E) 8196

Answer this question and see the worked solution

Concepts tested

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