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所在平台: Udemy |
课程主页: https://www.udemy.com/course/advanced-mathematics-part-iii-statistics-probability/
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课程名称：高等数学：第三部分：统计与概率 课程概述：本课程涵盖了统计学的各个细节，包括离散和分组数据的范围、范围系数、分组和未分组数据的均方差和标准差、加权均值、方差和变异系数、两组观察结果的比较等。此外，本课程还深入探讨了概率的主要内容，如集合的代数、定理及其应用，概率分布：二项分布、正态分布和泊松分布等。概率和统计主要涉及随机事件的研究，例如事故发生、测量误差、生产合格与不合格产品的情况，以及各种机会游戏，如从洗牌的牌堆中抽牌、掷硬币或掷对称的六面骰子。在这些情境中，尽管我们可能对各种可能结果的可能性有一些认识，但无法确定每次试验的具体结果。概率和统计在工程中具有广泛应用。在电气工程中，信号和噪声的分析依赖于概率理论。土木、机械和工业工程师使用统计和概率来测试和考虑材料和产品的变异。化学工程师运用概率和统计来评估实验数据，并控制与改善化学过程。掌握这些工具对现代工程师来说至关重要。
This course covers all the details of Statistics like range, coefficient of range of descrete and grouped data, mean deviation and standard deviation from mean of grouped and ungrouped data, weighted means, variance and coefficient of variance, comparison of two sets of observation, etc.This course also covers a major and important part of Probability like algebra of sets, theorems and their applications, probability distribution: Binomial, Normal and Poisson, etc.Probability and statistics are concerned with events which occur by chance. Examples include occurrence of accidents, errors of measurements, production of defective and nondefective items from a production line, and various games of chance, such as drawing a card from a well-mixed deck, flipping a coin, or throwing a symmetrical six-sided die. In each case we may have some knowledge of the likelihood of various possible results, but we cannot predict with any certainty the outcome of any particular trial. Probability and statistics are used throughout engineering. In electrical engineering, signals and noise are analyzed by means of probability theory. Civil, mechanical, and industrial engineers use statistics and probability to test and account for variations in materials and goods. Chemical engineers use probability and statistics to assess experimental data and control and improve chemical processes. It is essential for today's engineer to master these tools.
