9. Assume that a policyholder is four times more likely to file exactly two claims as to file exactly three claims. Assume also that the number X of claims of this policyholder is Poisson. (a) Determine the distribution of X. (4 marks) (b) Determine the expectation E[X2]. (3 marks) (c) Find the probability of more than one claims that the policyholder files. (4 marks)