Question: Use Analytic Solver Platform to fit the hurricane data to a discrete distribution? Does the Poisson distribution give the best fit? The number and frequency

Use Analytic Solver Platform to fit the hurricane data to a discrete distribution? Does the Poisson distribution give the best fit?

The number and frequency of Atlantic hurricanes annually from 1940 through 2012 is shown here.

a. Find the probabilities of 0– 12 hurricanes each season using these data.
b. Assuming a Poisson distribution and using the mean number of hurricanes per season from the empirical data, compute the probabilities of experiencing 0– 12 hurricanes in a season. Compare these to your answer to part ( a). How good does a Poisson distribution model this phenomenon? Construct a chart to visualize these results.

Frequency 5 16 19 14 3 Number 4 4 3 2 7 10 12

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