Answer:
X is discrete random variable
Step-by-step explanation:
Consider the provided information.
Horses are housed in pasture, pipe pens, or barn stalls at a local horse barn.
Let X be the number of horses that are housed in the pasture, pipe pens, or barn stalls.
Discrete random variable: If the number of values is finite then C is discrete in nature.
Random variable; If the variable can take any value between two defined value then X is called continuous in nature.
Here the number of horses are finite and we can count them easily.
Thus, X is discrete random variable.