ABSTRACT
Some of the concepts that were introduced in Chapter 4 pose technical difficulties when the random variable is not discrete. We illustrate some of these difficulties by considering a random variable X whose set of possible values is the unit interval, i.e., X(S) = [0, 1]. Specifically, we ask the following question:
What probability distribution formalizes the notion of “equally likely” outcomes in the unit interval [0, 1]?
