A random variable that may take on any value in an interval or collection of intervals is known as a

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A continuous random variable is one that can take on any value within a range or interval, whereas a discrete random variable can only take on specific values. A continuous probability function is a function that describes the probabilities associated with a continuous random variable. A finite probability function is one where the random variable takes on a finite number of values, whereas a continuous random variable can take on an infinite number of values within a given range or interval.

A Random Variable That May Take on Any Value in an Interval