Answer:
The random variable is continuous. The possible values are a greater than 0.
Step-by-step explanation:
We have to identify if "Square Footage of a house" is a discrete variable or a random variable. For this first we need to understand the difference between both type of variables.
Discrete Variable:
A discrete variable can only take specific value e.g. number of people in a hotel which can take only whole number values like 15, 43, 155 etc. A discrete variable is counted. Examples are: Number of people, number of books etc
Continuous Variable:
A continuous variable can take all the values within its specific range. For example, weight of a person. Weight can take any value greater than 0. Weight can be in decimals, can be in integers. A continuous variable is always measured.
The given variable: "Square Footage of a house" can take any value greater than 0, there is no limit to it. "Square Footage of a house" is always measured.
Based on this we can conclude that "Square Footage of a house" is a Continuous variable and can take all values greater than 0.
