Two building owners - Alice and Bob - each own a building worth $1,000,000. They are considering forming a mutual insurance pool. Based on historical data, there are three possible fire damage scenarios for each building in a given year: No damage: 85% probability Partial damage: 12% probability, with repair costs of $200,000 Total loss: 3% probability, with a cost of $1,000,000 Calculate the standard deviation of the loss of each owner with pooling (2 buildings together)
Two building owners - Alice and Bob - each own a building worth $1,000,000. They are considering forming a mutual insurance pool. Based on historical data, there are three possible fire damage scenarios for each building in a given year: No damage: 85% probability Partial damage: 12% probability, with repair costs of $200,000 Total loss: 3% probability, with a cost of $1,000,000 Calculate the standard deviation of the loss of each owner with pooling (2 buildings together)
Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter15: Decision Analysis
Section: Chapter Questions
Problem 20P: Alexander Industries is considering purchasing an insurance policy for its new office building in...
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Two building owners - Alice and Bob - each own a building worth $1,000,000. They are considering forming a mutual insurance pool. Based on historical data, there are three possible fire damage scenarios for each building in a given year:
- No damage: 85% probability
- Partial damage: 12% probability, with repair costs of $200,000
- Total loss: 3% probability, with a cost of $1,000,000
Calculate the standard deviation of the loss of each owner with pooling (2 buildings together)
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