《概率论与数理统计》课程教学大纲一、课程根本信息课程代码BUSI课程中文名称概率论与数理统计课程英文名称Probability theory and statistics学分/学时4 学分/66 学时适用专业工商管理、会计、财务管理、电子商务、旅游管理等经济管理类专业推举教材〔参考书〕《概率论与数理统计》，袁荫棠编著，中国人民大学，2024 年二、课程简介《概率论与数理统计》是一门讨论随机现象规律性，并在此根底上进展统计推断的学科。在经济、管理的数据分析、预测与决策中有着广泛的应用。本课程旨在向 2 年级的大学生介绍概率论的根本原理和概念、以与利用数据进展知情管理决策的统计推断的根本技术。课程容包括概率法那么、概率的公理定义、条件概率、事件的独立性、贝叶斯定理、离散型和连续型随机变量概率分布、概率密度函数、分布函数、联合概率分布、随机变量的函数、期望与方差、协方差与相关系数、二项分布、超几何分布、普哇松分布、指数分布、正态分布、大数定律与中心极限定理、样本分布、包括点估量和区间估量的参数估量、一个总体的均值与方差的假设检验，两个总体的统计推断技术、简单线性回归和多元线性回归分析方法。Course Brief DescriptionProbability Theory and Statistics is a discipline of statistical inference based on the fundamental principles of random events. It has comprehensive applications on economic and managerial data analysis, forecast and decision making. This course is designed to introduce second-year students to the fundamental principles and concepts from probability theory as well as the basic statistical inference techniques of using data to make informed management decisions.Topics covered include rules of probability, axiomatic definition of probability, conditional probability, independence of events, Bayes theorem, discrete and continuous random variable probability distribution, probability density function and cumulative distribution function, joint probability distribution, function of random variables, expectation and variance, covariance and correlation, binomial distribution, hypergeometric distrib...
