Ecologists often use the number of reported sightings of a rare species of animal to estimate the…

Ecologists often use the number of reported sightings of a rare species of animal to estimate the remaining population size. For example, suppose the number x of reported sightings per week of blue whales is recorded. Assume that x has (approximately) a Poisson probability distribution. Furthermore, assume that the average number of weekly sightings is 2.6.
a. Find the mean and standard deviation of x, the number of blue-whale sightings per week. Interpret the results.
b. Use Table III to find the probability that fewer than two sightings are made during a given week.
c. Use Table III to find the probability that more than five sightings are made during a given week.
d. Use Table III to find the probability that exactly five sightings are made during a given week.