Answer: Continuous random variables are those that can take on any value within a given range or interval. Here are some examples of continuous random variables:
Height: A person's height is a continuous random variable, as it can take on any value within a given range (e.g., between 4 feet and 7 feet).
Weight: Similarly, a person's weight is a continuous random variable, as it can take on any value within a given range (e.g., between 50 pounds and 300 pounds).
Time: Time is a continuous random variable, as it can take on any value within a given range (e.g., between 0 seconds and 1 hour).
Temperature: Temperature is a continuous random variable, as it can take on any value within a given range (e.g., between -273°C and 100°C).
Distance: Distance is a continuous random variable, as it can take on any value within a given range (e.g., between 0 and infinity).
Speed: Speed is a continuous random variable, as it can take on any value within a given range (e.g., between 0 miles per hour and the speed of light).
Income: Income is a continuous random variable, as it can take on any value within a given range (e.g., between $0 and $10 million per year).
These are just a few examples of continuous random variables. In general, any variable that can take on an infinite number of possible values within a given range or interval is considered a continuous random variable.
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