1.Ecologists often use the number of reported sightings of a rare species of animal to estimate the remaining population size. Suppose the number of reported sightings per week of blue whales is recorded. In addition, assume the average number of weekly sightings is 2.4.

1)Explain why a Poisson probability distribution is reasonable to model the number of sightings per week..

2)Find the probability that fewer than two sightings are made during a given week.

3)Find the probability that more than five sightings are made during a given week.

4)Find the probability that exactly 3 sightings are made during a given week.