Actuarial Notes

Exam P Practice Question 8

Study guide: Exam P-1

The time X, in years, from when a claim is reported until it is settled has distribution function

F(x) = \begin{cases}
0, & x < 0 \\
\dfrac{x^2}{16}, & 0 \le x \le 4 \\
1, & x > 4
\end{cases}

Calculate the expected time to settlement.

  • A) 1.33
  • B) 2.67
  • C) 2.83
  • D) 3.00
  • E) 4.00

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