Actuarial Notes

SOA Exam P Sample Question 664

Study guide: Exam P-1

The amount of losses for barn fires is exponentially distributed with mean 20,000.

Determine the probability that at least nine of a random sample of ten barn fires will have losses in excess of 20,000.

  • A) \dfrac{9e - 10}{e^{10}}
  • B) \dfrac{10e - 9}{e^{10}}
  • C) \dfrac{(9 + e)\left(1 - \frac{1}{e}\right)^9}{e^{10}}
  • D) 10\left(\dfrac{e-1}{e^{10}}\right)
  • E) 9\left(\dfrac{e-1}{e}\right)^{10}

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