Actuarial Notes

SOA Exam P Sample Question 611

Study guide: Exam P-1

An insurer's loss severity random variable, X, has density function

f(x) = \begin{cases}
c(x - 5), & 5 \le x \le 8 \\
c(11 - x), & 8 \le x \le 11 \\
0. & \text{otherwise}
\end{cases}

where c is a constant.

Calculate the 30th percentile of the loss severity.

  • A) 5.47
  • B) 6.14
  • C) 6.80
  • D) 7.06
  • E) 7.32

Answer this question and see the worked solution

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