Actuarial Notes

SOA Exam P Sample Question 54

Study guide: Exam P-1

An insurer's annual weather-related loss, X, is a random variable with density function f(x) = \begin{cases} \frac{2.5(200)^{2.5}}{x^{3.5}}, & x > 200 \\ 0, & \text{otherwise.} \end{cases}

Calculate the difference between the 30^{\text{th}} and 70^{\text{th}} percentiles of X.

  • A) 35
  • B) 93
  • C) 124
  • D) 231
  • E) 298

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