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Question
c. is the gender of college students a discrete random variable, a continuous random variable, or not a random variable?
a. it is a continuous random variable.
b. it is a discrete random variable.
c. it is not a random variable.
A random variable is a variable whose value is determined by the outcome of a random event. Gender is a categorical variable (male/female etc.). Discrete random variables have countable values (e.g., number of students). Continuous random variables can take any value in an interval (e.g., height). Since gender is a categorical variable that can be assigned values (e.g., 0 for male, 1 for female) in a countable way (finite number of categories), it is a discrete random variable.
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B. It is a discrete random variable.