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?