Which of the following correctly describes a Poisson random variable?

A) It does not generate a binomial either/or outcome because only a single type of outcome or "event" is occurring during the Poisson process.
B) It is not confined to a fixed number of trials, because its value can equal any discrete integer between zero and infinity, along a continuum of time or space.
C) It equals the number of occurrences of a specified event within a specified time or space.
D) All of these.
E) None of these.

Poisson Random Variable

A variable that represents the number of times an event occurs in a fixed interval of time or space, following the Poisson distribution.

Discrete Integer

Refers to a type of numerical data that can only take specific, separated values and cannot be fractional.

Poisson Process

A statistical process that models the occurrence of events within a fixed interval of time or space, assuming that these events happen with a known constant mean rate and independently of the time since the last event.