Answer:
a) There is a probability of 12% that 3 hurricanes happens in any year.
b) It is expected that 5.4 years in a period of 45 years have 3 hurricanes.
c) The Poisson distribution work well in predicting this kind of events.
Step-by-step explanation:
The Poisson distribution has the following expression

In this case we have
. The probability that, in a year, there will be 3 hurricanes is:

There is a probability of 12% that 3 hurricanes happens in any year.
If we take a period of 45 years, the expected amount of years with 3 hurricanes can be estimated as:

It is expected that 5.4 years in a period of 45 years have 3 hurricanes.
The Poisson distribution work well in predicting this kind of events.