Discrete or Continuous

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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 books in a library or the number of siblings in a family.

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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 the amount of paint used in a project or the speed of a car.

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Example of a Discrete Random Variable: Number of female athletes in a school.

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This is a discrete random variable because it can only take on whole number values (0, 1, 2, ...).

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Example of a Continuous Random Variable: Height of students in a class.

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This is a continuous random variable because height can take on any value within a range and is measured, not counted.

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Can the number of cars in a parking lot be considered a Discrete Random Variable?

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Yes, the number of cars in a parking lot is a discrete random variable because it can only take on whole number values.

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Can the temperature in a city be considered a Continuous Random Variable?

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Yes, temperature is a continuous random variable because it can take on any value within a range and is measured.

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What is the difference between discrete and continuous random variables?

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Discrete random variables have countable outcomes, while continuous random variables have uncountable outcomes that can take any value within a range.

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Is the time taken to complete a race a Discrete or Continuous Random Variable?

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The time taken to complete a race is a Continuous Random Variable because it can take on any value within a range.

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What type of variable is the number of students in a classroom?

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The number of students in a classroom is a Discrete Random Variable.

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What type of variable is the weight of a package?

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The weight of a package is a Continuous Random Variable.