Below we have records of cat 3 or higher Atlantic hurricanesmaking landfall on US coast lines over a period of 100 years. Whyis it reasonable to assume that cat 3 or higher making landfall onUS coast lines can be modelled by the Poisson distribution? Nowusing the following table examine whether the theoreticaljustification is supported by the record. Carefully mention allassumptions necessary to carry out the needed test.
Number of Cat 3 hurricanes or higherto make landfall in a year | Number of years |
0 | 50 |
1 | 19 |
2 | 7 |
3 | 4 |
4 or more | 0 |