The Poisson Random Variable Is A

The Poisson random variable is a: $\begin{array}{|l|l|}\hline A&\text {discrete random variable with infinitely many possible values. }\\\hline B&\text {discrete random variable with a finite number of possible values. }\\\hline C&\text {continuous random variable with infinitely many possible values. }\\\hline D&\text { continuous random variable with a finite number of possible values. }\\\hline \end{array}$