Model Aggregated Claims Value with Compound Poisson Distribution

Values of claims of certain collision insurance with a $500 deductible follow a ParetoDistribution. The number of claims per year follows a PoissonDistribution and averages 20 claims per month. Hence the aggregated claims value follows a CompoundPoissonDistribution.

The average value of all the claims per year:
Find the probability density function of the aggregated claims value using simulation:
Use the distribution obtained from the simulation to compute the probability that the aggregated claims have a value higher than 80,000: