### Two-Dimensional Poisson Experiment

#### Description

The experiment is to run a 2-dimensional Poisson process. The random variable of interest is the number of points \(N\) in the square \([0, w] \times [0, w]\). The points are shown as red dots in the scatterplot. The number of points \(N\) is recorded on each update in the data table. The probability density function and moments of \(N\) are shown in blue in the distribution graph and are recorded in the distribution table. On each update, the empirical density function and moments of \(N\) is shown in red in the distribution graph and are recorded in the distribution table. The parameters of the experiment are the rate \(r\) of the process and the side length \(w\) of the square, which can be varied with the input controls.