Two characteristics/assumptions of the Poisson distribution include:
A)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 non-overlapping 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 non-overlapping interval,and the random variable of interest is discrete.
D)The event occurring in one interval is dependent of the event occurring in any other non-overlapping interval,and the random variable of interest is continuous.

Question

Quizplus · Accepted Answer

The two characteristics/assumptions of the Poisson distribution are that the event occurring in one interval is independent of the event occurring in any other non-overlapping interval, and the random variable of interest is discrete. The probability of success (i.e. the event occurring) does not need to remain constant from trial to trial, as this is a property of the binomial distribution. The random variable of interest in a Poisson distribution is also not continuous, as it takes discrete values (i.e. the number of events that occur in a given interval). The event occurring in one interval is not dependent on the event occurring in any other non-overlapping interval, as this would violate the independence assumption that is necessary for a Poisson distribution.

Two Characteristics/assumptions of the Poisson Distribution Include