Abstract
This chapter will discuss various families of discrete random variables and their applications in modeling and validating random events. In this chapter, I will first provide a review of formulas related to discrete random variables in Section 12.1. Then, various kinds of discrete random variables, including Bernoulli, binomial, geometric, Pascal, Poisson, and discrete uniform random variables, will be sequentially presented in Sections 12.2-12.7. Specifically, the probability mass function (pmf), expected value, variance, and properties of each of these random variables will be derived and discussed in detail.
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