10. Betty Bad and Gary Good have the following expected claims distributions: (6 points) Loss Probability of Loss $50,000 .10 $10,000 .202 Betty Bad $5,000 .30- $0 .40 a. $50,000 .052 $10,000 .102 Gary Good $5,000 .152 $0 .70 What are the expected claims costs for Betty Bad and Gary Good respectively? b. 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. c. 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