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Engineering Probability and Statistics Part 1 · LearnSpace
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Engineering Probability and Statistics Part 1

Курс от Northeastern University
Уровень не указан≈ 15 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

Welcome to Engineering Probability and Statistics Part 1. Throughout your time in this course, you will be given opportunities to check your understanding of course material, as well as engage in quizzes to reflect on all the concepts you have explored within each module. By the end of this part 1 course on engineering probability and statistics, you will have a foundational understanding of the fundamentals of statistics, probability, variables, and types of distributions.

Навыки, которые вы освоите

Probability DistributionProbability & StatisticsProbabilityCorrelation AnalysisExploratory Data AnalysisDescriptive StatisticsStatisticsData AnalysisStatistical AnalysisData LiteracyCombinatoricsStatistical MethodsApplied MathematicsBayesian StatisticsStatistical ModelingMathematical Modeling

Программа курса

7 модулей · 137 учебных материалов

01Introduction to Statistics35 материалов

Course Welcome

Welcome to Engineering Probability and StatisticsЧтениеCourse IntroductionВидеоMeet Your FacultyВидеоEngineering Probability & Statistics Part 1 SyllabusЧтение

Учитесь у экспертов

Rehab Ali

Преподаватель курса

Engineering Probability and Statistics Part 1
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Обучение откроется на Coursera
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Обучение на Coursera

≈ 15 ч

7 модулей

Язык: Английский

Субтитры: Арабский, Французский, Узбекский, Итальянский, Бразильский португальский, Корейский, Немецкий, Испанский, Японский, Казахский, Венгерский

Часть программы вашего университета
Course Communication and SupportЧтение
Academic IntegrityЧтение

Lesson 1: Statistics and Their Applications

What is Statistics?ЧтениеUnderstanding Variability in DataЧтениеThe Big PictureЧтениеExploratory Data Analysis (EDA)ЧтениеAssess Your Learning: Statistics and Their ApplicationsЗадание

Lesson 2: Understanding Data, Variables, and Types of Data

What is Data?ЧтениеWhy Data and Variables MatterЧтениеAssess Your Learning: Understanding Data, Variables, and Types of DataЗадание

Lesson 3: Numerical Descriptive Statistics

Branches of StatisticsЧтениеIntro to Video: Numerical Descriptive StatisticsЧтениеNumerical Descriptive StatisticsВидеоMeasures of Central TendencyЧтениеThe MeanЧтениеThe MedianЧтениеThe ModeЧтениеMeasures of VariabilityЧтениеExample: Web Server Response Time MonitoringЧтениеQuartiles and PercentilesЧтениеAssess Your Learning: Numerical Descriptive StatisticsЗадание

Lesson 4: Graphical Descriptive Statistics

Intro to Video: Graphical Descriptive StatisticsЧтениеGraphical Descriptive StatisticsВидеоStem-and-Leaf DisplaysЧтениеDot PlotsЧтениеThe HistogramЧтениеHistogram for Discrete Numerical DataЧтениеHistogram for Continuous Numerical DataЧтениеHistogram for Qualitative Data (Bar Chart)ЧтениеBox PlotsЧтениеAssess Your Learning: Graphical Descriptive StatisticsЗадание
02Fundamentals of Probability18 материалов

Lesson 1: Experiments, Sample Space, Events, and Probability

What is a Random Experiment?ЧтениеSample SpacesЧтениеWhat is an Event?ЧтениеFundamental Event OperationsЧтениеExample: Number of Active Machines in a FactoryЧтениеProbabilityЧтениеExample: Employee Preferences in a Tech CompanyЧтениеUnderstanding the Product Rule for Ordered PairsЧтениеCombinations and PermutationsЧтениеExample: Film Festival OptionsЧтениеAssess Your Learning: Experiments, Sample Space, Events, and ProbabilityЗадание

Lesson 2: Conditional Probability and Bayes’ Theorem

Intro to Video: Conditional ProbabilityЧтениеConditional ProbabilityВидеоThe Law of Total ProbabilityЧтениеIntro to Video: Bayes’ TheoremЧтениеBayes’ TheoremВидеоBayes’ Theorem: ExampleЧтение
03Discrete Random Variables8 материалов

Lesson 1: Random Variables

Discrete Random VariablesЧтениеDiscrete Probability DistributionsЧтениеExpected Values, Variances, and Standard DeviationsЧтениеExample: Car WashЧтениеAssess Your Learning: Random VariablesЗадание

Lesson 2: Cumulative Distribution Functions

Cumulative Distribution FunctionsЧтениеVisualizing the Cumulative Distribution FunctionЧтениеAssess Your Learning: Cumulative Distribution FunctionsЗадание
04Discrete Probability Distributions20 материалов

Lesson 1: Binomial, Hypergeometric, and Negative Binomial Distribution

Intro to Video: The Binomial DistributionЧтениеThe Binomial DistributionВидеоExample: Manufacturing DefectsЧтениеBinomial Distribution ApplicationsЧтениеIntro to Video: The Hypergeometric DistributionЧтениеThe Hypergeometric DistributionВидеоHypergeometric and Binomial Distributions RelationshipЧтениеHypergeometric Distribution Case StudyЧтениеEstimating an Unknown Population SizeЧтениеIntro to Video: The Negative Binomial DistributionЧтениеThe Negative Binomial DistributionВидеоNegative Binomial Distribution ApplicationsЧтениеAssess Your Learning: Binomial, Hypergeometric, and Negative Binomial DistributionsЗадание

Lesson 2: The Poisson Distribution

Intro to Video: The Poisson DistributionЧтениеThe Poisson DistributionВидеоPoisson Distribution in PracticeЧтениеThe Poisson ProcessЧтениеBinomial Approximation to Poisson DistributionЧтениеComparing Various Discrete DistributionsЧтение
05Foundations of Continuous Probability Distributions17 материалов

Lesson 1: Continuous Random Variables

What are Continuous Random Variables?ЧтениеCalculating Continuous Probability DistributionsЧтениеCalculating the Cumulative Distribution FunctionЧтениеExpected Value of Continuous Random VariableЧтениеVariance for Continuous Random VariablesЧтениеContinuous Uniform DistributionЧтениеAssess Your Learning: Continuous Random VariablesЗадание

Lesson 2: The Normal Distribution

What is Normal Distribution?ЧтениеIntro to Video: Normal DistributionЧтениеNormal DistributionВидеоStandard Normal DistributionЧтениеInterpretation of the Z-TableЧтениеNormal Approximation for Binomial ProbabilitiesЧтение
06Advanced Continuous Distribution20 материалов

Lesson 1: Exponential Distributions

Intro to video: The Exponential DistributionЧтениеThe Exponential DistributionВидеоExponential DistributionЧтениеRelationship With Poisson ProcessЧтениеThe Memoryless PropertyЧтениеAssess Your learning: Exponential DistributionЗадание

Lesson 2: The Beta and Gamma Distributions

Intro to Video: The Beta and Gamma DistributionЧтениеBeta and Gamma DistributionВидеоThe Gamma DistributionЧтениеReading the Incomplete Gamma Function TableЧтениеWhen to Use the Gamma DistributionЧтениеExamples of the Gamma DistributionЧтениеThe Beta DistributionЧтениеExample: Estimating a Player’s Free-Throw AccuracyЧтениеAssess Your Learning: The Beta and Gamma DistributionsЗадание

Lesson 3: The Weibull Distribution

Intro to Video: The Weibull DistributionЧтениеThe Weibull DistributionВидеоThe Weibull DistributionЧтениеExample: Battery Cycle Life (Weibull)ЧтениеAssess Your Learning: The Weibull DistributionЗадание
07Joint Probability Distributions19 материалов

Lesson 1: Discrete and Continuous Joint Distributions

Introduction to Discrete Joint Probability DistributionЧтениеExample: Tech NestЧтениеMarginal Distributions for Discrete Random VariablesЧтениеIntro to Video: Discrete Joint Probability DistributionЧтениеDiscrete Joint Probability DistributionВидеоContinuous Joint Probability DistributionsЧтениеExample: Airport Security LanesЧтениеMarginal ProbabilityЧтениеAssess Your Learning: Discrete and Continuous Joint ProbabilityЗадание

Lesson 2: Relationships Between Random Variables

Independent Random VariablesЧтениеConditional DistributionsЧтениеExpected Values for Joint Random VariablesЧтениеSolved Example: Alex's Gadget ShopЧтениеSolved Example: Warehouse Shelf DistanceЧтениеCovariance of Joint Random VariablesЧтение
Assess Your Learning: Conditional Probability and Bayes’ TheoremЗадание
Assess Your Learning: The Poisson DistributionЗадание
Continuity Correction in Binomial ApproximationЧтение
The Lognormal DistributionЧтение
The Mean and Variance of Lognormal Random VariablesЧтение
Assess Your Learning: The Normal DistributionЗадание
Solved Example for Covariance of Joint Random VariablesЧтение
Correlation Between Two VariablesЧтение
Assess Your Learning: Relationships Between Random VariablesЗадание
Congratulations!Чтение