Here are the functionalities in distr you will need for the exercise

Loading the package without annoying prompt:

suppressPackageStartupMessages(require(distr))

Creating a distribution object

Let’s create a Poisson with parameter \(\lambda = 3.2\), which we will use in the following to demonstrate the functionalities in distr you will need for the exercise

distPoisson <- Pois(lambda = 3.2)

Sampling from it

Here, we sample from our Poisson distribution 1 time:

r(distPoisson)(1)

[1] 4

Evaluating the PMF or density

Here we compute the PMF of a poisson at the realization \(x = 4\):

d(distPoisson)(4)

[1] 0.1780928