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Ground-up claim severity has a uniform distribution. When a per-claim deductible equal to r times the upper bound for the severity distribution is in effect, the claim size variance is 0.75(1-r)<sup>2</sup> times the full coverage claim size variance. Determine which interval contains the value of r.
Claim severity without deductible (full coverage) has a uniform distribution on [0,b]. When a per-claim deductible equal to rb is in effect, the claim size variance is 0.75(1-r)<sup>2</sup> times the claim size variance when there is no deductible. Determine which interval contains the value of r.


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Revision as of 20:33, 18 March 2024

Claim severity without deductible (full coverage) has a uniform distribution on [0,b]. When a per-claim deductible equal to rb is in effect, the claim size variance is 0.75(1-r)2 times the claim size variance when there is no deductible. Determine which interval contains the value of r.

  • [0.55,0.6]
  • [0.68,0.73]
  • [0.75,0.79]
  • [0.82,0.85]
  • [0.9,0.95]