Discrete & Continuous Random Variables - Statistics

A Further Comment on the Continuous CaseIt could be argued that most if not all observed random phenomenaare intrinsically discrete in nature.From that point of view the introduction of continuous r.v.’s is just a mathematicalartifact that allows a more elegant treatment using calculus ideas.It provides more elegant notational expressions.It also avoids the choice of the fine grid of measurements that is most appropriatein any given situation.48