The domain of X in a Poisson probability distribution is discrete and can include:
A)any real X value.
B)any integer X value.
C)any nonnegative integer X value.
D)any X value except zero.

Question

Quizplus · Accepted Answer

The domain of a Poisson probability distribution is discrete and consists of nonnegative integer values only, since the Poisson distribution models the number of events occurring in a fixed interval of time or space. Any real number or negative values are not valid for the Poisson distribution, hence options A and D can be eliminated. Option B is incorrect because although the Poisson distribution is primarily used to model count data, not all count data follows a Poisson distribution, and in such cases, non-integer values may be included.

The Domain of X in a Poisson Probability Distribution Is