Actuarial Notes

SOA Exam P Sample Question 396

Study guide: Exam P-1

An insurance policy covers losses incurred by a policyholder, subject to a deductible of 20. Losses incurred follow a distribution with probability density function

f(x) = \begin{cases}
kx^{0.25}, & \text{for } 0 < x < 100 \\
0, & \text{otherwise,}
\end{cases}

where k is a constant.

Calculate the 90th percentile of losses that exceed the deductible.

  • A) 89
  • B) 90
  • C) 91
  • D) 92
  • E) 93

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