where P is the probability, n is mean number, and x the number of the event happens, so:
P(3) = 0.098
b.
For 45 years, the years that are expected to have 3 hurricanes are
P(3) * 45 = 0.098*45 = 4.41
c.
Yes, it does. The Poisson distribution works well because the observed value of the number of years that 3 hurricanes occur is 45-year period is very close to the calculated value.