Bonus Problem 2 (Optional, 25 marks) We consider an insurance policy issued by an insurance company. It is given that - There is a policy limit of $3 per loss imposed in this policy. On the other hand, there are no deductible and coinsurance. - The number of claim events happened in this insurance policy has Poisson distribution with mean 1. - The loss amount in a claim event, denoted by X, has the following distribution P(X=k)=4k3,k=1,2,3, Question Suppose that the insurance company pursued a reinsurance that covers the loss in this insurance policy, this reinsurance has an ordinary deductible of $4. Calculate the stop-loss premium of this insurance. Bonus Problem 2 (Optional, 25 marks) We consider an insurance policy issued by an insurance company. It is given that - There is a policy limit of $3 per loss imposed in this policy. On the other hand, there are no deductible and coinsurance. - The number of claim events happened in this insurance policy has Poisson distribution with mean 1. - The loss amount in a claim event, denoted by X, has the following distribution P(X=k)=4k3,k=1,2,3, Question Suppose that the insurance company pursued a reinsurance that covers the loss in this insurance policy, this reinsurance has an ordinary deductible of $4. Calculate the stop-loss premium of this insurance