Understanding Continuous Random Variables and Their Infinite Range of Variability in Math

Continuous random variables can take on values between whole integers that contain decimal points

That is correct. Continuous random variables are variables that can take on any value within a given interval or range.

That is correct. Continuous random variables are variables that can take on any value within a given interval or range. Unlike discrete random variables, which can only take on specific, separate values (such as whole integers), continuous random variables have an infinite number of possible values. These values can include fractions or decimal points.

For example, let’s consider the height of a person. Height is a continuous random variable because it can vary continuously within a certain range. People can be 5 feet tall, 5.5 feet tall, 5.75 feet tall, and so on. The height can take on any value within the interval between two whole numbers, including values with decimal points.

Another example of a continuous random variable is the temperature. Temperature can be measured in degrees Celsius or degrees Fahrenheit, and it can take on any value within a given range. For instance, it can be 25.3 degrees Celsius, 98.6 degrees Fahrenheit, or any other value in between.

In summary, continuous random variables can take on values between whole integers that include decimal points. They have an infinite number of possible values within a given interval, allowing for a greater range of variability compared to discrete random variables.

More Answers:

Calculating the Probability of a Number Being More or Less than the Mean in a Normal Distribution
Understanding Continuous Random Variables: Explained and Examples
Understanding Probability for Continuous Random Variables: Why the Probability of a Specific Value is Typically Zero

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