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Practical Examples of Continuous Random Variables

Some practical examples of continuous random variables:

  • The height of a person. The height of a person can take on any value between the minimum and maximum height possible for a human. There are an infinite number of possible heights, so height is a continuous random variable.
  • The weight of an object. The weight of an object can take on any value between the minimum and maximum weight possible for that object. There are an infinite number of possible weights, so weight is a continuous random variable.
  • The temperature at a given location. The temperature at a given location can take on any value between the minimum and maximum temperature possible for that location. There are an infinite number of possible temperatures, so the temperature is a continuous random variable.
  • The time it takes to complete a task. The time it takes to complete a task can take on any value between the minimum and maximum time possible to complete that task. There are an infinite number of possible times, so the time to complete a task is a continuous random variable.
  • The amount of rainfall in a given area. The amount of rainfall in a given area can take on any value between the minimum and maximum amount of rainfall possible for that area. There are an infinite number of possible amounts of rainfall, so the amount of rainfall is a continuous random variable.
  • Height: The height of individuals can be modelled as a continuous random variable. It can take any value within a certain range (e.g., between 0 and 8 feet) and can be measured with arbitrary precision (e.g., 5.6 feet).
  • Distance: Distance is also a continuous random variable. It can take any value within a certain range and be measured with arbitrary precision. For instance, the distance travelled by car or the distance between two points on a map.
  • Speed: Speed is a continuous random variable that represents how fast an object is moving. It can take any value within a certain range and can be measured with decimal precision.
  • Blood Pressure: Blood pressure is a continuous random variable that can be measured with arbitrary precision. It can take various values within a certain range, such as systolic and diastolic blood pressure readings.

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