The difference between distribution law and distribution function is that distribution function is the most important probability feature of random variables, which can completely describe the statistical law of random variables and determine all other probability features of random variables. Distribution law is the probability of specific distribution within a certain range.

Distribution function is an important function in probability statistics, through which random variables can be analyzed mathematically. The distribution law of discrete random variables and their distribution functions are unique to each other. They can all be used to describe the statistical regularity of discrete random variables, but the distribution law is more intuitive, concise and convenient to handle than the distribution function. Therefore, distribution law is generally used to describe discrete random variables instead of distribution function.

Expand one's knowledge

Distribution function is an important function in probability statistics. It is through it that random variables can be studied by mathematical analysis. Distribution function is the most important probability feature of random variables, which can completely describe the statistical law of random variables and determine all other probability features of random variables.

Distribution function of discrete random variables

The distribution law of discrete random variables and their distribution functions are unique to each other. They can all be used to describe the statistical regularity of discrete random variables, but the distribution law is more intuitive, concise and convenient to handle than the distribution function. Therefore, the distribution law (probability function) is generally used to describe discrete random variables instead of distribution function.

function

First of all, we should understand that a function is the corresponding relationship between sets. Then, we should understand that there is more than one functional relationship between A and B, and finally, we should focus on understanding the three elements of the function. The corresponding rules of functions are usually expressed by analytical expressions, but a large number of functional relationships can not be expressed by analytical expressions, but only by images, tables and other forms.

concept

In the process of a change, the amount of change is called a variable (in mathematics, the variable is X, and Y changes with the change of X value), and some numerical values do not change with the variable, so they are called constants.

Independent variable (function): a variable related to other quantities, and any value in this quantity can find a corresponding fixed value in other quantities. Dependent variable (function): it changes with the change of independent variable. When the independent variable takes a unique value, the dependent variable (function) has and only has a unique value corresponding to it. Function value: in a function where y is x, x determines a value, and y determines a value accordingly. When x takes a, y is determined as b, and b is called the function value of a. ..