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10. Betty Bad and Gary Good have the following expected claims distributions: (5 points) Loss Probability of Loss Betty Bad $50,000 .10 $10,000 .20 $5,000

10. Betty Bad and Gary Good have the following expected claims distributions: (5 points)

Loss

Probability of Loss

Betty Bad

$50,000

.10

$10,000

.20

$5,000

.30

$0

.40

Gary Good

$50,000

.05

$10,000

.10

$5,000

.15

$0

.70

  1. What are the expected claims costs for Betty Bad and Gary Good respectively?

  1. What is the expected average claim 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.

  1. 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?

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