Actuarial Notes

SOA Exam P Sample Question 79

Study guide: Exam P-1

In a small metropolitan area, annual losses due to storm, fire, and theft are assumed to be mutually independent, exponentially distributed random variables with respective means 1.0, 1.5, and 2.4.

Calculate the probability that the maximum of these losses exceeds 3.

  • A) 0.002
  • B) 0.050
  • C) 0.159
  • D) 0.287
  • E) 0.414

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