Which of the following statements accurately distinguishes between Poisson processes and Birth-and-Death processes?
1
In a Poisson process, events occur without any dependence on how many events have occurred earlier, while in a birth-and-death process each arrival affects the state of the system.
2
In a Poisson process, events occur with a dependence on earlier events, while in a birth-and-death process they occur independently.
3
In a birth-and-death process, arrivals and departures occur independently, while in a Poisson process they do not.
4
Birth and death processes care about the order of events, whereas Poisson processes do not.