Actuarial Notes

SOA Exam FAM Sample Question 90

Study guide: Exam FAM

You are given the following observations on 185 small business policies:

Number of Claims Number of Policies
0 80
1 or more 105

The number of claims per policy follows a Poisson distribution with parameter \lambda.

Using the maximum likelihood estimate of \lambda, determine the estimated probability of a policy having fewer than two claims.

  • A) 0.79
  • B) 0.84
  • C) 0.89
  • D) 0.95
  • E) 0.98

Answer this question and see the worked solution

Concepts tested

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