5. Consider a collective risk model, where the claim count is distributed Poi(a) and the claim severity is distributed exponentially with mean equals to b, where a is the last digit of your student number and b is the second last digit of your student number. Now, you are the junior analyst of the company and is assigned to provide a comparison between a proportional reinsurance of 50% and an excess of loss reinsurance with M = :. You should provide both the expectation and the variance of the pay-out