Discrete vs. Continuous Random Variable

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What is a discrete random variable?

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A discrete random variable is a type of variable that can take on a countable number of distinct values. Examples include the number of medals won, the number of students in a class, or the number of heads when flipping coins.

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What is a continuous random variable?

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A continuous random variable is a type of variable that can take on an infinite number of values within a given range. Examples include measurements like height, weight, or time.

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Example of a discrete random variable: Recording the number of medals won in Olympic games.

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This is a discrete random variable because the number of medals is countable.

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Example of a continuous random variable: Measuring the time it takes for a dolphin to surface.

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This is a continuous random variable because time can be measured in infinitely small increments.

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What is the main difference between discrete and continuous random variables?

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The main difference is that discrete random variables can only take specific values, while continuous random variables can take any value within a range.

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Identify whether the following is discrete or continuous: Tossing a pair of fair coins.

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Discrete Random Variable.

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Identify whether the following is discrete or continuous: Measuring the distance traveled by cars using 1-liter of gasoline.

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Continuous Random Variable.

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Identify whether the following is discrete or continuous: Collecting data about mileage per liter of a car.

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Continuous Random Variable.

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What type of data is represented by the number of students in a classroom?

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Discrete Random Variable.

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What type of data is represented by the height of students in a school?

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Continuous Random Variable.