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BiteSize Stats: Key Probability Distributions · LearnSpace
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BiteSize Stats: Key Probability Distributions

Курс от University of Colorado Boulder
Начальный≈ 83.2 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

BiteSize Statistics for Absolute Beginners: Key Probability Distributions is the third and final course in the BiteSize Stats for Absolute Beginners specialization. It shows how the probability rules from Course 2 turn into named, reusable models — random variables and their distributions, the binomial and Poisson families for discrete counts, the Normal distribution for continuous measurements, and the sampling distributions that connect any of them back to real data. Across five modules, learners progress from random variables, PMFs, expected value, and CDFs, through the binomial distribution for fixed-trial counts and the Poisson distribution for rate-based counts, to the Normal distribution, Z-scores, and inverse-Normal problems, and finally the Central Limit Theorem and sampling distributions of the mean and proportion. 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; two modules also include a fully worked bonus case study.

Навыки, которые вы освоите

Probability DistributionProbabilitySampling (Statistics)Probability & StatisticsStatistical ModelingStatistical MethodsStatistical InferenceCapacity PlanningDescriptive StatisticsStatistical AnalysisQuality ControlRisk Modeling

Программа курса

5 модулей · 140 учебных материалов

01Random Variables and Their Distributions28 материалов

Intro to the Course

Course Design and Student GuideЧтение

Random Variables

Random VariablesЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтение

Учитесь у экспертов

Di Wu

Instructor

BiteSize Stats: Key Probability Distributions
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Обучение на Coursera

≈ 83.2 ч

5 модулей

Язык: Английский

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

Probability Mass Functions and Expected Value

Probability Mass Functions and Expected ValueЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

Variance of a Distribution

Variance of a DistributionЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

Cumulative Distribution Functions

Cumulative Distribution FunctionsЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

Lab: Selecting the Right Distribution (Optional)

Lab: Selecting the Right DistributionЧтениеLab: Selecting the Right DistributionЛабораторная

Assessment

Assessment QuizЗадание
02The Binomial Distribution27 материалов

The Binomial Setting

The Binomial SettingЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

The Binomial Formula

The Binomial FormulaЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

Shape, Mean, and Standard Deviation

Shape, Mean, and Standard DeviationЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

Binomial Probabilities in Business

Binomial Probabilities in BusinessЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

Lab: Acceptance Sampling (Optional)

Lab: Acceptance SamplingЧтениеLab: Acceptance SamplingЛабораторная

Assessment

Assessment QuizЗадание
03The Poisson Distribution29 материалов

The Poisson Setting

The Poisson SettingЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

The Poisson Formula

The Poisson FormulaЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

Shape, Mean, and Variance

Shape, Mean, and VarianceЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

Poisson Probabilities in Business

Poisson Probabilities in BusinessЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

Lab: Call Center Staffing (Optional)

Lab: Call Center StaffingЧтениеLab: Call Center StaffingЛабораторная

Demo: Cloud Infrastructure Capacity & Queueing Theory

Demo: Cloud Infrastructure Capacity & Queueing TheoryЧтениеDemo: Cloud Infrastructure Capacity & Queueing TheoryЛабораторная

Assessment

Assessment QuizЗадание
04The Normal Distribution29 материалов

The Normal Distribution

The Normal DistributionЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

Standardizing with Z-Scores

Standardizing with Z-ScoresЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

Finding Normal Probabilities

Finding Normal ProbabilitiesЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

Inverse Normal Problems

Inverse Normal ProblemsЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

Lab: Quality Control and Pricing (Optional)

Lab: Quality Control and PricingЧтениеLab: Quality Control and PricingЛабораторная

Demo: Financial Risk Assessment — Value at Risk

Demo: Financial Risk Assessment — Value at RiskЧтениеDemo: Financial Risk Assessment — Value at RiskЛабораторная

Assessment

Assessment QuizЗадание
05Sampling Distributions and the Central Limit Theorem27 материалов

Sampling Distributions of the Sample Mean

Sampling Distributions of the Sample MeanЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

The Central Limit Theorem

The Central Limit TheoremЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

Applying the CLT

Applying the CLTЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

The CLT for Proportions

The CLT for ProportionsЧтениеBusiness ScenarioЧтениеPractice: Interactive PlaygroundЧтениеPractice: Interactive PlaygroundЛабораторнаяAssessmentЧтениеReflection and SummaryЧтение

Lab: Simulating the CLT (Optional)

Lab: Simulating the CLTЧтениеLab: Simulating the CLTЛабораторная

Assessment

Assessment QuizЗадание