Actuarial Notes

SOA Exam P Sample Question 245

Study guide: Exam P-1

On Main Street, a driver’s speed just before an accident is uniformly distributed on [5, 20]. Given the speed, the resulting loss from the accident is exponentially distributed with mean equal to three times the speed.

Calculate the variance of a loss due to an accident on Main Street.

  • A) 525
  • B) 1463
  • C) 1575
  • D) 1632
  • E) 1744

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