Betty Bad and Gary Good have the following expected claims distributions: Betty Bad Gary Good Loss $10,000 $5,000 $1,000 Probability of Loss $ .10 .20 .30 $ 0 .40 $10,000 .05 $5,000 .10 $1,000 .15 0 .70 What are the expected claims costs for Betty Bad and Gary Good respectively? What is the expected average claims cost per policy for a pool in which 50% of the participants have claims distributions identical the Betty Bad and 50% have claims distributions identical to Gary Good. If insurers cannot distinguish the Goods from the Bads, what is the potential problem with charging everyone a premium equal to the expected average claims costs?
Betty Bad and Gary Good have the following expected claims distributions: Betty Bad Gary Good Loss $10,000 $5,000 $1,000 Probability of Loss $ .10 .20 .30 $ 0 .40 $10,000 .05 $5,000 .10 $1,000 .15 0 .70 What are the expected claims costs for Betty Bad and Gary Good respectively? What is the expected average claims cost per policy for a pool in which 50% of the participants have claims distributions identical the Betty Bad and 50% have claims distributions identical to Gary Good. If insurers cannot distinguish the Goods from the Bads, what is the potential problem with charging everyone a premium equal to the expected average claims costs?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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