The experiment is to run a Poisson process with rate \(r\) until time \(t\). Each arrival is type 1 with probability \(p\) or type 0 with probability \(1 - p\), a procedure known as splitting the Poisson process. In the timeline, the type 1 arrivals are shown as red dots and the type 0 arrivals as green dots. The number of type 1 arrivals \(N_1\) and the number of type 0 arrivals \(N_0\) are the random variables of interest. The rate of the process \(r\), the time \(t\), and the probability \(p\) can be varied with the input controls.