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BiteSize Stats: Probability Rules and Bayes Theorem  · LearnSpace
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BiteSize Stats: Probability Rules and Bayes Theorem 

Курс от University of Colorado Boulder
Начальный≈ 80.2 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

BiteSize Statistics for Absolute Beginners: Probability Rules and Bayes' Theorem is the second course in the BiteSize Stats for Absolute Beginners specialization. It builds the probabilistic reasoning skills that underlie every later course on distributions, sampling, and hypothesis testing: how to compute probabilities from first principles, combine them correctly with the addition and multiplication rules, condition on new information, count outcomes precisely, and update beliefs with Bayes' Theorem. Across five modules, learners progress from the axioms of probability, event types, and Venn diagrams, through the addition and multiplication rules and probability trees, to conditional probability and contingency tables, permutations and combinations, and finally the Law of Total Probability and Bayes' Theorem — including its use in medical testing and fraud detection. Every core lesson pairs a short video walkthrough and reading with a hands-on interactive notebook built around a realistic business scenario, and each module closes with a graded applied lab using a real dataset.

Навыки, которые вы освоите

ProbabilityProbability & StatisticsBayesian StatisticsCombinatoricsProbability DistributionApplied MathematicsLogical ReasoningData LiteracyStatistical MethodsDiagnostic TestsBusiness MathematicsFraud detectionStatistical InferenceCorrelation Analysis

Программа курса

5 модулей · 136 учебных материалов

01Foundations of Probability28 материалов

Intro to the Course

Course Design and Student GuideЧтение

What Is Probability?

What Is Probability?ЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтение

Учитесь у экспертов

Di Wu

Instructor

BiteSize Stats: Probability Rules and Bayes Theorem 
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Обучение на Coursera

≈ 80.2 ч

5 модулей

Язык: Английский

Часть программы вашего университета
Practice: Interactive PlaygroundЛабораторная
AssessmentЧтение
Reflection and SummaryЧтение

Types of Events

Types of EventsЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

The Axioms of Probability

The Axioms of ProbabilityЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

Venn Diagrams and Set Notation

Venn Diagrams and Set NotationЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

Lab: Basic Probability in Practice (Optional)

Lab: Basic Probability in PracticeЧтениеLab: Basic Probability in PracticeЛабораторная

Assessment

Assessment QuizЗадание
02The Addition and Multiplication Rules27 материалов

The Addition Rule

The Addition RuleЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

Independent Events

Independent EventsЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

The Multiplication Rule

The Multiplication RuleЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

Probability Trees

Probability TreesЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

Lab: Probability Rules in Practice (Optional)

Lab: Probability Rules in PracticeЧтениеLab: Probability Rules in PracticeЛабораторная

Assessment

Assessment QuizЗадание
03Conditional Probability and Contingency Tables27 материалов

The Complement Rule

The Complement RuleЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

Conditional Probability

Conditional ProbabilityЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

The Conditional Probability Formula

The Conditional Probability FormulaЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

Contingency Tables

Contingency TablesЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

Lab: Conditional Probability in Practice (Optional)

Lab: Conditional Probability in PracticeЧтениеLab: Conditional Probability in PracticeЛабораторная

Assessment

Assessment QuizЗадание
04Counting Methods: Permutations and Combinations27 материалов

The Fundamental Counting Principle

The Fundamental Counting PrincipleЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

Permutations

PermutationsЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

Combinations

CombinationsЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

Counting in Business

Counting in BusinessЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

Lab: Counting in Practice (Optional)

Lab: Counting in PracticeЧтениеLab: Counting in PracticeЛабораторная

Assessment

Assessment QuizЗадание
05Bayes' Theorem and Applications27 материалов

The Law of Total Probability

The Law of Total ProbabilityЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

Bayes' Theorem

Bayes' TheoremЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

Bayes' Theorem in Medical Testing

Bayes' Theorem in Medical TestingЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

Bayes' Theorem in Business

Bayes' Theorem in BusinessЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

Lab: Bayes' Theorem in Practice (Optional)

Lab: Bayes' Theorem in PracticeЧтениеLab: Bayes' Theorem in PracticeЛабораторная

Assessment

Assessment QuizЗадание