Part A:
The poisson distribution is given by
Thus, given that <span>the mean number of hurricanes in a certain area is 7.2 per year.
The </span><span>probability that, in a year, there will be 6 hurricanes is given by
</span>
Part B:
<span>In a 45-year period, the number of years that are expected to have 6 hurricanes is given by 0.1445 x 45 = 6.5 years.
Part C:
The poisson distribution worked here because, the observed value of the number of years that hurricanes occurred in a 45 year period which is 6 is very close to the calculated value which is 6.5</span>
The poisson distribution is given by
Thus, given that <span>the mean number of hurricanes in a certain area is 7.2 per year.
The </span><span>probability that, in a year, there will be 6 hurricanes is given by
</span>
Part B:
<span>In a 45-year period, the number of years that are expected to have 6 hurricanes is given by 0.1445 x 45 = 6.5 years.
Part C:
The poisson distribution worked here because, the observed value of the number of years that hurricanes occurred in a 45 year period which is 6 is very close to the calculated value which is 6.5</span>