An insurer's total annual claim amount S follows a compound Poisson distribution with parameter 2 = 500. The individual claim size X is exponentially distributed with parameter B=0.001. (i) Simulate 1,000 aggregate claim amounts, using the seed value 1975, and display the last five results. The insurer believes that aggregate claims can be approximated using a normal distribution, with parameters u and o?. Calculate the maximum likelihood estimates of the parameters u and o? based on your simulated data. Hint: You should use the sample mean and standard deviation as starting values for your iteration. (iii) Use a suitable graph to comment on the goodness of fit