Continuous random variables are outcomes that take on any numerical value in an interval as a result of conducting an experiment?
That definition accurately describes continuous random variables
That definition accurately describes continuous random variables. In statistics, a random variable is a variable that represents the possible outcomes of a random experiment or observation. When the outcomes can take on any numerical value within a specific interval or range, we refer to this type of random variable as a continuous random variable.
For example, let’s consider the height of adults. If we randomly select an adult and measure their height, the possible values can take on any numerical value within a certain range (for example, between 4 feet and 7 feet). In this case, the height is a continuous random variable.
It is important to note that the outcomes of continuous random variables are not limited to a specific set of discrete values like with discrete random variables. Continuous random variables can assume an infinite number of possible values within the interval, and can take on decimal values as well.
To summarize, continuous random variables represent outcomes that can be any numeric value within a certain range or interval and are commonly encountered in real-world situations involving measurements such as time, length, weight, temperature, etc.
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