Actuarial Notes

Exam MAS-I Practice Question 15

Study guide: Exam MAS-I

Each insured's annual claim rate \Lambda follows a gamma distribution with \alpha = 3 and \theta = 0.1. Given \Lambda, the insured's claims follow a Poisson process.

Calculate the probability that a randomly selected insured has exactly one claim in a 2-year period.

  • A) Less than 0.10
  • B) At least 0.10, but less than 0.18
  • C) At least 0.18, but less than 0.25
  • D) At least 0.25, but less than 0.31
  • E) At least 0.31

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