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A game involves a circular spinner with eight sections labeled with numbers. ZZ is the number of the section the spinner lands on.\newlineIs the random variable ZZ discrete or continuous?\newlineChoices:\newline(A) discrete\newline(B) continuous

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Identify discrete and continuous random variablesright chevron icon

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Q. A game involves a circular spinner with eight sections labeled with numbers. ZZ is the number of the section the spinner lands on.\newlineIs the random variable ZZ discrete or continuous?\newlineChoices:\newline(A) discrete\newline(B) continuous
  1. Countable Outcomes: Since the spinner can only land on one of the eight labeled sections, and these sections are distinct and separate, the number of possible outcomes is countable.
  2. Discrete Random Variable: A discrete random variable is one that has a countable number of possible values. The spinner's sections are countable and finite.
  3. Finite Values: Therefore, the random variable ZZ is discrete because it can only take on a finite number of values, which are the labeled sections on the spinner.

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