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ZZ is the number of cars sold by a randomly chosen dealership last month.\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 cars sold by a randomly chosen dealership last month.\newlineIs the random variable ZZ discrete or continuous?\newlineChoices:\newline(A) discrete\newline(B) continuous
  1. Variable Constraints: The number of cars sold can only be whole numbers; you can't sell half a car or 2.52.5 cars, so the variable must be one that takes on distinct, separate values.
  2. Distinct Values: Since ZZ can only take on distinct values (like 11, 22, 33 cars, etc.), it is not continuous. Continuous variables can take on any value within a range, including fractions and decimals.
  3. Discrete Random Variable: Therefore, ZZ is a discrete random variable because it counts the number of cars sold, which are distinct and countable.

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