The Poisson distribution can model a system where two events can occur simul- taneously. a. True b. False

Answer

The statement is b. False.

Explanation

The Poisson distribution is used to model the number of events that occur in a fixed interval of time or space, with the key assumptions that these events are independent of each other and occur at a constant average rate. One of the important characteristics of the Poisson distribution is that it specifically models the occurrence of events where each event is mutually exclusive and cannot happen simultaneously. Therefore, if two events can occur simultaneously, then the Poisson distribution wouldn’t be the appropriate model to describe that situation.

In conclusion, the correct response is b. False, as simultaneous events contradict the fundamental assumptions of the Poisson distribution.