Discrete random varaibles

Defination: If the set of all possible values of a random variable, X, is a countable set then X is called a discrete random variable. The function If it is clear from the context that X is discrete, then we simply will say discrete pdfProbability Density Funciton and cumulative distribution function(CDF). Another common terminology is Probability Mass Function

if X is a discrete random variable wiuth pdf(x), then the expected valueof X is defined by

Important: Bernoulli Random Variable

Binomial distribution

Probability Mass Function