Actuarial Notes

SOA Exam P Sample Question 519

Study guide: Exam P-1

A tornado occurs in each of two cities, A and B. The durations of the tornadoes in cities A and B are independent and exponentially distributed with means 5 minutes and 4 minutes, respectively.

The tornadoes in cities A and B result in damages valued at 1.00 and c per minute, respectively, where c is a constant.

The standard deviation of the total damage to the two cities is 5.20.

Calculate c.

  • A) 0.05
  • B) 0.13
  • C) 0.36
  • D) 2.35
  • E) 5.51

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