The Poisson random variable is a:

A) discrete random variable with infinitely many possible values.
B) discrete random variable with finite number of possible values.
C) continuous random variable with infinitely many possible values.
D) continuous random variable with finite number of possible values.

Poisson Random Variable

A random variable that represents the number of events occurring in a fixed interval of time or space, where these events occur with a known constant mean rate and independently of the time since the last event.

Discrete Random Variable

A random variable that can take on a countable number of distinct values, often representing quantities that can be enumerated.

Continuous Random Variable

A variable that can take on an infinite number of values within a given range, representing outcomes of a random process.