Two characteristics,or assumptions,of the Poisson distribution are that
A) the probability of success remains constant from trial to trial,and the random variable of interest is continuous.
B) the event occurring in one interval is independent of the event occurring in any other nonoverlapping interval,and the random variable of interest is continuous.
C) the event occurring in one interval is independent of the event occurring in any other nonoverlapping interval,and the random variable of interest is discrete.
D) the event occurring in one interval is dependent on the event occurring in any other nonoverlapping interval,and the random variable of interest is continuous.

Question

Quizplus · Accepted Answer

The Poisson distribution is a discrete probability distribution used to model the number of events occurring in a fixed interval of time or space. Therefore, the assumption that the random variable of interest is discrete is correct. Additionally, the Poisson distribution assumes that events occur independently of each other in nonoverlapping intervals, which is also represented in choice C. Choices A and D are incorrect because the Poisson distribution does not assume a continuous random variable, and it assumes independence between events occurring in nonoverlapping intervals. Choice B is also incorrect because it incorrectly assumes that the random variable of interest is continuous.

Two Characteristics,or Assumptions,of the Poisson Distribution Are That