MATH 314 Homework 07

Due 2026-02-19 by 11:59pm

1. In certain remote habitats, rare species can be difficult to observe. Ecologists often rely on random sampling to estimate population densities and study their behavior. Assume, on average, 4.4 sightings of a rare bird species are recorded every week in the wild.

   a. What is the probability that in a given week, there will be exactly 3 sightings of this bird species?

   b. What is the probability that in a given week, there will be 5 or more sightings?

   dc. After a reforestation initiative, the number of sightings increases to an average of 7.2 per week. If an ecologist spends a week observing, what is the probability that they will record at least one sighting of this bird species?