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Zorluk: OrtaLaw of Large Numbers

An insurance company is launching a new policy exclusively designed for a specific model of commercial delivery drone, successfully insuring a nationwide pool of 45,000 homogeneous units against collision damage. According to the Law of Large Numbers, which of the following is the primary outcome of insuring this large volume of similar exposure units?

  1. The insurer's ability to accurately predict the total volume of collision losses for the entire pool improves, even though it remains impossible to predict which specific drones will crash.Cevap
  2. B
    The insurer transforms the speculative risk of the commercial drone industry into an insurable exposure, guaranteeing an underwriting profit.
  3. C
    The insurer successfully utilizes risk avoidance by spreading the financial consequences of drone collisions across a vast number of operators.
  4. D
    The primary legal liability for individual drone claims is automatically assumed by a reinsurer due to the sheer size of the exposure pool.

Cevap

The insurer's ability to accurately predict the total volume of collision losses for the entire pool improves, even though it remains impossible to predict which specific drones will crash.
The Law of Large Numbers is a fundamental statistical principle used in insurance. It dictates that as the number of similar, independent exposure units increases, the insurer's ability to accurately predict aggregate future losses for the entire group improves. Crucially, while it provides stability and predictability for the overall pool, it does not provide any ability to predict exactly which individual unit within that pool will experience a loss.

Adım Adım Çözüm

1
Identify the core principle being tested in the scenario.
The scenario asks about the application of the Law of Large Numbers to a pool of 45,000 homogeneous exposure units.
Understanding the definition of the concept is necessary to determine its primary outcome.
2
Define the Law of Large Numbers in the context of insurance.
It is a statistical principle stating that as the number of similar (homogeneous) independent exposure units increases, the actual losses will more closely approximate the expected losses.
This principle is the foundation for actuarial predictions and rate-setting.
3
Evaluate how this principle applies to predicting losses.
The principle enables the insurer to reliably forecast the aggregate number of losses for the entire group, but it expressly does not allow the prediction of which individual unit will suffer a loss.
This distinction is critical for understanding the limitations and capabilities of insurance underwriting.

Anahtar Kavram

Law of Large Numbers
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Law of Large Numbers

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