PROBABILITY DISTRIBUTIONS

让我们从随机变量的概念开始。这是一个具有不同概率的不同值的变量。假设正在考虑的随机变量X是指扔硬币的可能结果（称为事件）。在这种情况下，有两个事件（头部和尾巴），它们是详尽而相互排斥的，每个发生的可能性为1/2。类似地
一个公平的骰子有六个结果，每个事件的概率为1/6。我们可以概括该概念如下：一个随机变量x假定值x₁， X₂，，，，。......... X_n，具有相应的概率P₁，p₂，p₃，，，，。....... p_n，，，，。We express it as p(X = X₁) = p₁。当随机变量假设一定的隔离d values we call it a discrete random variable. On the other hand, if it assumes any value in an interval it is termed continuous random variable.

A probability distribution is a statement about the possible values of a random variable along with their respective probabilities. Thus it describes how the probabilities are distributed over the values of the random variable. For a discrete random variable the probability distribution function is called probability.mass function whereas for a continuous random variable it is
called probability density function.