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A game involves a circular spinner with eight sections labeled with numbers. ZZ is the amount of time the spinner spins before coming to a rest.\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 amount of time the spinner spins before coming to a rest.\newlineIs the random variable ZZ discrete or continuous?\newlineChoices:\newline(A) discrete\newline(B) continuous
  1. Discrete vs Continuous Variables: Discrete variables are countable in a finite amount of time. Continuous variables can take any value within a given range and are not countable.
  2. Definition of Continuous Variable: The amount of time ZZ can be any value within a range, not just specific, separate values. It can be 2.32.3 seconds, 2.352.35 seconds, etc., which means it's not countable.
  3. Identification of ZZ as Continuous Random Variable: Since ZZ can take on any value within a range and is not limited to distinct, separate values, ZZ is a continuous random variable.

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