Actuarial Notes

SOA Exam P Sample Question 434

Study guide: Exam P-1

An amusement park has two roller coasters. This year, the numbers of accidents occurring on the first and second roller coasters are Poisson distributed with means \lambda_1 = 0.5 and \lambda_2, respectively. The probability that at least one accident occurs on the second roller coaster is twice the probability for the first roller coaster.

Calculate \lambda_2.

  • A) 1.00
  • B) 1.19
  • C) 1.23
  • D) 1.55
  • E) 2.00

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