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ZZ is the number of times that a randomly chosen water fountain is used in a week.\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. ZZ is the number of times that a randomly chosen water fountain is used in a week.\newlineIs the random variable ZZ discrete or continuous?\newlineChoices:\newline(A) discrete\newline(B) continuous
  1. Discrete vs Continuous Variables: Discrete random variables can only take on a countable number of values, like whole numbers. Continuous random variables can take on any value within a range, including fractions and decimals.
  2. Nature of Variable ZZ: Since you can't use a water fountain a fraction of a time, the number of uses would be whole numbers like 00, 11, 22, and so on. This means the variable ZZ is countable.
  3. Conclusion: Therefore, ZZ is a discrete random variable because it represents a countable number of uses.

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