Actuarial Notes

SOA Exam P Sample Question 465

Study guide: Exam P-1

Homeowner losses due to tornado damage are exponentially distributed with standard deviation \sigma. A homeowners policy covers tornado losses in full, subject to a deductible. The probability that a random loss exceeds the deductible by at least \sigma is 0.20.

Calculate the probability that a random loss exceeds the deductible by at least 0.5\sigma.

  • A) 0.33
  • B) 0.40
  • C) 0.46
  • D) 0.54
  • E) 0.60

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