Actuarial Notes

Exam P Practice Question 9

Study guide: Exam P-1

The size X, in thousands, of a randomly selected claim on a commercial property policy has density function

f(x) = \begin{cases}
\dfrac{5 - x}{8}, & 1 < x < 5 \\
0, & \text{otherwise.}
\end{cases}

The insurer sends every claim larger than a threshold t for special review, and sets t so that 10% of claims are sent.

Calculate t.

  • A) 1.21
  • B) 1.74
  • C) 3.74
  • D) 4.20
  • E) 4.60

Answer this question and see the worked solution

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