In: Statistics and Probability
            The number and frequency of Atlantic hurricanes annually from
1940 through 2015 is shown here. This...
                
            
- The number and frequency of Atlantic hurricanes annually from
1940 through 2015 is shown here. This means, for instance, that no
hurricanes occurred during 5 of these years, only one hurricane
occurred in 16 of these years, and so on.
 
| 
 Number 
 | 
 Frequency 
 | 
| 
 0 
 | 
 5 
 | 
| 
 1 
 | 
 16 
 | 
| 
 2 
 | 
 20 
 | 
| 
 3 
 | 
 14 
 | 
| 
 4 
 | 
 4 
 | 
| 
 5 
 | 
 5 
 | 
| 
 6 
 | 
 5 
 | 
| 
 7 
 | 
 3 
 | 
| 
 8 
 | 
 2 
 | 
| 
 10 
 | 
 1 
 | 
| 
 12 
 | 
 1 
 | 
- Find the probabilities of 0-12 hurricanes each season using
these data.
 
- Find the mean number of hurricanes.
 
- Assuming a Poisson distribution and using the mean number of
hurricanes per season from part b, compute the probabilities of
experiencing 0-12 hurricanes in a season. Compare these to your
answer to part a. How accurately does a Poisson distribution model
this phenomenon?