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Question
a discrete random variable has values. a finite number of undefined infinitely many
A discrete random variable is defined as a variable that can take on either a finite number of distinct values or an infinite sequence of countable distinct values. The key characteristic is that the values are separate and countable. Among the given options, "a finite number of" is a valid description (it can also be countably infinite, but since "a finite number of" is an option and fits part of the definition, and the other options are incorrect - "undefined" is not relevant in this context of variable value definition, and "infinitely many" without the countable aspect is too vague compared to the proper discrete random variable definition which often starts with finite as a basic case in many introductory explanations).
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A. a finite number of