Actuarial Notes

Exam P Practice Question 901

Study guide: Exam P-1

A benefit payment to an insured is modeled by the random variable B. Given a loss X that is exponentially distributed with mean 5, the benefit is: B = \begin{cases} 0 & X < 2 \\ X - 2 & 2 \leq X < 5 \\ 3 & X \geq 5 \end{cases} Calculate E[B].

  • A) 1.22
  • B) 1.51
  • C) 1.85
  • D) 2.00
  • E) 2.22

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