Actuarial Notes

SOA Exam FAM Sample Question 38

Study guide: Exam FAM

You are given:

(i) The number of claims has probability function:

p(x) = \binom{m}{x}q^x(1 - q)^{m - x}, \quad x = 0, 1, \ldots, m

(ii) The actual number of claims must be within 1% of the expected number of claims with probability 0.95.

(iii) The expected number of claims for full credibility is 34,574.

Calculate q.

  • A) 0.05
  • B) 0.10
  • C) 0.20
  • D) 0.40
  • E) 0.80

Answer this question and see the worked solution

Concepts tested

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