### Two-Type Poisson Experiment

Timeline
Distribution graph
Distribution graph

#### Description

The experiment is to run a Poisson process until time $$t$$. Each arrival is type 1 with probability $$p$$ or type 0 with probability $$1 - p$$. This is 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 values of $$N_0$$ and $$N_1$$ are recorded on each update in the data table. The probability density functions and moments of $$N_0$$ and $$N_1$$ are shown in blue in the distribution graphs and are recorded in the distribution tables.On each update, the empirical density functions and moments of $$N_0$$ and $$N_1$$ are shown in red in the distribution graphs and are recorded in the distribution tables. The parameters are the rate of the process $$r$$, the time $$t$$, and the probability $$p$$. These can be varied with the input controls.