Is the gender of college students a discrete random variable, a continuous random variable, or not a random variable?

Gender is a categorical data.                

Step-by-step explanation:

Categorical Variable

Categorical variables take on values that are names or labels. Example: The color of a ball (e.g., red, green, blue) or the breed of a dog (e.g., collie, shepherd, terrier) would be examples of categorical variables.The values of a categorical variable are selected from a small group of categories. Examples are gender (male or female) and marital status (never married, married, divorced or widowed).A categorical or discrete variable is one that has two or more categories or values.  There are two types of categorical variable, nominal and ordinal.  

Thus, gender is a categorical data and not a random variable that can take values, male and female.

This categorical data can be converted into discrete random variable by assigning an identity that is 0 for male and 1 for female.

Is it multiple choice