PLEASE HELP. I have copy paste "penguin_popgrowth.txt" in the attachment below. All the references are provided. Please help with 1 and 3. I would appreciate if you can help.

For this question, we will use the Palmer Penguins dataset. You will need to install and load a package containing the data with

Consider a small, isolated island population of penguins. In a given year, individuals hatch (and survive their first year), and individuals die. Ignoring migration, the change in the population size is = . Assume that the number of new hatchlings ~() and the number of deaths is ~(). Further assume that and are independent. We observe only the random change in population size each year, and not the number of births or deathsthat is, we can observe but cannot directly observe or .