Actuarial Notes

Exam P Practice Question 955

Study guide: Exam P-1

Claims arrive according to a Poisson process at a rate of 2 per year. Let T be the time in years until the third claim, so that T follows a gamma distribution with shape \alpha = 3 and scale \theta = 0.5.

Calculate P(T > 1).

  • A) 0.135
  • B) 0.271
  • C) 0.406
  • D) 0.677
  • E) 0.857

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