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Which of the following is a discrete data random variable? The volume of water in a swimming pool each day Cars finished in a factory each day A person's height each birthday A person's weight on each year

Question

Which of the following is a discrete data random variable? The volume of water in a swimming pool each day Cars finished in a factory each day A person's height each birthday A person's weight on each year

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Solution

The discrete data random variable among the options given is "Cars finished in a factory each day".

Here's why:

  1. Discrete data can only take particular values. For example, the number of students in a class, the number of cars in a parking lot, etc. These values are countable.

  2. "The volume of water in a swimming pool each day" is not discrete because volume is a continuous measurement. It can take on any value within a certain range, not just whole numbers.

  3. "A person's height each birthday" is also not discrete for the same reason. Height is a continuous measurement.

  4. "A person's weight on each year" is also not discrete. Weight is a continuous measurement.

  5. "Cars finished in a factory each day" is discrete because you can count the number of cars. It can't be a fraction or a decimal, it has to be a whole number. Therefore, this is a discrete data random variable.

This problem has been solved

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