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Probability and Statistics · LearnSpace
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Probability and Statistics

Курс от Birla Institute of Technology & Science, Pilani
Начальный≈ 30.3 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

Elevate your data analysis skills with our comprehensive Probability and Statistics course, tailored for professionals seeking real-world applications. Ideal for aspiring data analysts, engineers, scientists, and anyone looking to enhance their decision-making abilities, this course is your gateway to mastering essential statistical concepts. Dive deep into data sets, Chebyshev’s inequality, descriptive statistics, probability axioms, and Bayes’ formula. Gain expertise in random variables, mathematical expectations, various distributions, confidence intervals, hypothesis testing, and regression analysis. Our interactive course features discussions and ample assignments designed to solidify your understanding and competencies. Real-world applications are seamlessly integrated, ensuring you can apply concepts in practical scenarios. Whether you're aiming for a career in data science, engineering, finance, or research, this course equips you with critical analytical skills to succeed and stand out in your field. Enrol now to transform your ability to make data-driven decisions with confidence. With our expert-driven learning experience, enhance your career and become a valuable asset in your professional journey. Keywords: Probability and Statistics course, data analysis, real-world applications, aspiring data analysts, decision-making, career enhancement.

Навыки, которые вы освоите

Data VisualizationPredictive ModelingApplied MathematicsStatistical AnalysisData AnalysisStatistical MethodsAnalysisQuantitative Research

Программа курса

9 модулей · 268 учебных материалов

01Fundamentals of Statistics21 материалов

Let's Get Started

About Probability and StatisticsВидеоCourse OverviewЧтениеCourse Structure & Critical InformationЧтение

Descriptive Data Sets and Summarizing Data Sets

Fundamentals of StatisticsВидео

Учитесь у экспертов

BITS Pilani Instructors Group

Преподаватель курса

Probability and Statistics
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Обучение откроется на Coursera
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Обучение на Coursera

≈ 30.3 ч

9 модулей

Язык: Английский

Субтитры: Венгерский

Часть программы вашего университета
Data Visualization Using Frequency TablesВидео
Check Your Understanding: Data Visualisation Using Frequency TablesЗадание
Histogram, Ogives, Stem and Leaf Plots Видео
Check Your Understanding: Histogram, Ogives, Stem and Leaf Plots Задание
Measures of Central TendencyВидео
Descriptive Data Sets and Summarising Data SetsЧтение

Understanding the Data

Measures of VariabilityВидеоCheck Your Understanding: Measures of VariabilityЗаданиеChebyshev’s Inequality ВидеоCheck Your Understanding: Chebyshev’s Inequality ЗаданиеNormal Data Set and Skewness of DataВидеоCheck Your Understanding: Normal Data Set and Skewness of DataЗаданиеTwo Quantitative Variables on Scatter Plot ВидеоCheck Your Understanding: Two Quantitative Variables on Scatter Plot ЗаданиеUnderstanding the DataЧтение

Discussion and Assignment

Data Exploration: Analyzing Computer Equipment Repair TimesDIALOGUETest Yourself: Fundamentals of StatisticsЗадание
02Elements of Probability31 материалов

Probability

Basics of ProbabilityВидеоCheck Your Understanding: Basics of ProbabilityЗаданиеBasics of Set TheoryВидеоCheck Your Understanding: Basics of Set TheoryЗаданиеBasics of ProbabilityЧтение

Axioms of Probability and Sample Spaces Having Equally Likely Outcomes

Axioms of ProbabilityВидеоCheck Your Understanding: Axioms of ProbabilityЗаданиеProbabilities of Equally Likely OutcomesВидеоCheck Your Understanding: Probabilities of Equally Likely Outcomes ЗаданиеPrinciple of CountingВидеоCheck Your Understanding: Principle of CountingЗаданиеPrinciple of Counting: Example 1ВидеоCheck Your Understanding: Principle of Counting - Example 1ЗаданиеPrinciple of Counting: Example 2 ВидеоCheck Your Understanding: Principle of Counting - Example 2ЗаданиеAxioms of Probability and Sample Spaces Having Equally Likely Outcomes Чтение

Bayes’ Formula

Conditional Probability ВидеоCheck Your Understanding: Conditional ProbabilityЗаданиеConditional Probability: ExampleВидеоCheck Your Understanding: Example of Conditional ProbabilityЗаданиеBayes’ FormulaВидеоCheck Your Understanding: Bayes’ FormulaЗадание

Discussion and Assignment

Conditional Probability in Real-World Decision MakingDIALOGUETest Yourself: Elements of ProbabilityЗадание
03Random Variables32 материалов

Random Variables

Random Variable: Definition ВидеоCheck Your Understanding: Random Variable: Definition ЗаданиеRandom Variable: Examples ВидеоCheck Your Understanding: Random Variable: Examples ЗаданиеRandom Variable: TypesВидеоCheck Your Understanding: Random Variable: Types ЗаданиеProbability Distribution Function ВидеоCheck Your Understanding: Probability Distribution Function ЗаданиеProbability Distribution Function: ExamplesВидеоCheck Your Understanding: Probability Distribution Function: ExamplesЗаданиеRandom VariableЧтение

Discrete Random Variable

Mean of a Discrete Random VariableВидеоCheck Your Understanding: Mean of a Discrete Random VariableЗаданиеVariance and Standard Deviation of Discrete Random Variable ВидеоCheck Your Understanding: Variance and Standard Deviation of Discrete Random Variable ЗаданиеMean and Variance: Example 1ВидеоCheck Your Understanding: Mean and Variance: Example 1Задание

Continuous Random Variable

Probability Density Function ВидеоCheck Your Understanding: Probability Density Function ЗаданиеProbability Density Function: ExamplesВидеоCheck Your Understanding: Probability Density Function: ExamplesЗаданиеMean and Standard Deviation of a Continuous Random VariableВидеоCheck Your Understanding: Mean and Standard Deviation of a Continuous Random VariableЗадание

Discussion

Analyzing Random Variables: From Distributions to ExpectationsDIALOGUE
04Discrete Probability Distributions29 материалов

Binomial Distribution

Binomial Distribution: DefinitionВидеоCheck Your Understanding: Binomial Distribution: DefinitionЗаданиеBinomial Distribution: Properties ВидеоCheck Your Understanding: Binomial Distribution: Properties ЗаданиеMean of Binomial DistributionВидеоCheck Your Understanding: Mean of Binomial DistributionЗаданиеVariance of Binomial DistributionВидеоCheck Your Understanding: Variance of Binomial DistributionЗаданиеRecurrence RelationВидеоCheck Your Understanding: Recurrence RelationЗаданиеBinomial Distribution: Example 1ВидеоCheck Your Understanding: Example of Binomial Distribution (1)ЗаданиеBinomial Distribution: Example 2ВидеоCheck Your Understanding: Example of Binomial Distribution (2)ЗаданиеBinomial Distribution  Чтение

Poisson Distribution

Poisson Distribution: DefinitionВидеоCheck Your Understanding: Poisson Distribution: DefinitionЗаданиеPoisson Distribution: PropertiesВидеоCheck Your Understanding: Poisson Distribution: PropertiesЗаданиеMean of Poisson DistributionВидеоCheck Your Understanding: Mean of Poisson DistributionЗадание

Assignment

Test Yourself: Random Variables and Discrete Probability DistributionsЗадание
05Continuous Probability Distributions31 материалов

Normal Distribution

Probability Density Function ВидеоCheck Your Understanding: Probability Density Function ЗаданиеNormal Distribution ВидеоCheck Your Understanding: Normal Distribution ЗаданиеStandard Normal Distribution and Normal CurveВидеоCheck Your Understanding: Standard Normal Distribution and Normal CurveЗаданиеNormal Distribution TableВидеоCheck Your Understanding: Normal Distribution TableЗаданиеNormal Distribution: Example 1ВидеоCheck Your Understanding: Normal Distribution: Example 1ЗаданиеNormal Distribution: Example 2ВидеоCheck Your Understanding: Normal Distribution: Example 2ЗаданиеNormal Distribution: Example 3ВидеоCheck Your Understanding: Normal Distribution: Example 3 ЗаданиеNormal Distribution Чтение

Properties of Normal Distribution

Mean of Normal DistributionВидеоCheck Your Understanding: Mean of Normal DistributionЗаданиеVariance of Normal DistributionВидеоCheck Your Understanding: Variance of Normal DistributionЗаданиеGaussian MixturesВидеоCheck Your Understanding: Gaussian MixturesЗадание

Other Continuous Distributions

Uniform DistributionВидеоCheck Your Understanding: Uniform DistributionЗаданиеGamma DistributionВидеоCheck Your Understanding: Gamma DistributionЗаданиеExponential DistributionВидеоCheck Your Understanding: Exponential DistributionЗадание
06Sampling and Estimation34 материалов

Sampling

Introduction to Sampling ВидеоCheck Your Understanding: Sampling ЗаданиеPopulations and SamplesВидеоCheck Your Understanding: Populations and SamplesЗаданиеTypes of SamplingВидеоCheck Your Understanding: Types of SamplingЗаданиеSampling Distribution ВидеоCheck Your Understanding: Sampling Distribution ЗаданиеCentral Limit TheoremВидеоCheck Your Understanding: Central Limit TheoremЗаданиеSampling Distribution: t-DistributionВидеоCheck Your Understanding: Sampling Distribution: t-DistributionЗаданиеSampling Distribution: Chi-Square DistributionВидеоCheck Your Understanding: Sampling Distribution: Chi-Square DistributionЗаданиеSampling Distribution: F DistributionВидеоCheck Your Understanding: Sampling Distribution: F DistributionЗаданиеSampling Чтение

Estimation

EstimationВидеоCheck Your Understanding: EstimationЗаданиеPoint EstimationВидеоCheck Your Understanding: Point EstimationЗаданиеInterval Estimation: Mean ВидеоCheck Your Understanding: Interval Estimation: Mean Задание

Discussion and Assignment

Building and Interpreting Confidence IntervalsDIALOGUEContinuous Probability Distributions, Sampling and EstimationЗадание
07Testing of Hypothesis52 материалов

Testing of Hypothesis: Introduction

Introduction to Testing of Hypothesis ВидеоFormulating Null and Alternate HypothesisВидеоCheck Your Understanding: Testing of Hypothesis - 1ЗаданиеType I and Type II ErrorsВидеоCheck Your Understanding: Type I and Type II ErrorsЗаданиеLevel of Significance ВидеоCheck Your Understanding: Level of Significance ЗаданиеExamples of Testing of HypothesesВидеоCheck Your Understanding: Testing of Hypothesis - 2ЗаданиеTesting of HypothesisЧтение

Testing of Hypothesis: Mean

Testing of Hypothesis: One Mean—Large SampleВидеоCheck Your Understanding: One Mean - Large SampleЗаданиеTesting of Hypothesis: One Mean—Small SampleВидеоCheck Your Understanding: One Mean - Small SampleЗаданиеTesting of Hypothesis: Two Means—Large SampleВидеоCheck Your Understanding: Two Means - Large SampleЗадание

Testing of Hypothesis: Examples

One Mean—Large Sample: Example 1ВидеоCheck Your Understanding: One Mean—Large Sample Example 1ЗаданиеOne Mean—Small Sample: Example 2 ВидеоCheck Your Understanding: One Mean—Small Sample Example 2 ЗаданиеTwo Means—Large Sample: Example 3ВидеоCheck Your Understanding: Two Means—Large Sample Example 3Задание

Testing of Hypothesis: Proportion

Testing of Hypothesis by ProportionВидеоCheck Your Understanding: Testing of Hypothesis - Proportion 1ЗаданиеTesting of Hypothesis: One Proportion—Large SampleВидеоCheck Your Understanding: One ProportionЗаданиеTesting of Hypothesis Related to PopulationВидеоTesting of Hypothesis: Two proportions—Large SampleВидео

Testing of Hypothesis: Several Proportions

Testing of Hypothesis: Several ProportionsВидеоCheck Your Understanding: Several Proportions - 1ЗаданиеChi-Square TestВидеоCheck Your Understanding: Chi-Square TestЗаданиеTesting of Hypothesis: Several Proportions - Example 1ВидеоTesting of Hypothesis: Several Proportions—Example 2Видео

Additional Examples

Testing of Hypothesis: A SummaryВидеоTesting of Hypothesis: Example 4ВидеоTesting of Hypothesis: Example 5ВидеоTesting of Hypothesis: Example 6Видео

Assignment

Testing of HypothesisЗадание
08Correlation and Regression22 материалов

Correlation

CorrelationВидеоCovariance ВидеоExample of CovarianceВидеоCheck Your Understanding: Correlation and CovarianceЗаданиеTypes of CorrelationВидеоCheck Your Understanding: Types of CorrelationЗаданиеCoefficient of CorrelationВидеоExample of Coefficient of CorrelationВидеоCheck Your Understanding: Coefficient of CorrelationЗаданиеCorrelationЧтение

Simple Linear Regression

Simple Linear RegressionВидеоCheck Your Understanding: Simple Linear RegressionЗаданиеSimple Linear Regression: Sum of Squared ErrorsВидеоCheck Your Understanding: Sum of Squared ErrorsЗаданиеNormal EquationsВидеоCheck Your Understanding: Normal EquationsЗадание
09Multiple Linear Regression and Nonlinear Regression16 материалов

Multiple Linear Regression

Multiple Linear RegressionВидеоMultiple Linear Regression with Two Independent VariablesВидеоMultiple Linear Regression with More Than Two Independent VariablesВидеоCheck Your Understanding: Multiple Linear RegressionЗадание

Nonlinear Regression and Polynomial Regression

Nonlinear Regression: Part IВидеоNonlinear Regression: Part IIВидеоPolynomial RegressionВидеоCheck Your Understanding: Nonlinear and Polynomial RegressionЗаданиеExample of Nonlinear RegressionВидеоExample of Polynomial RegressionВидеоCheck Your Understanding: Examples of Nonlinear RegressionЗаданиеAdditional Recommended Reading: Multiple Linear Regression and Nonlinear RegressionЧтение

Discussion and Assignment

Correlation, Causation, and Regression InterpretationDIALOGUECorrelation and RegressionЗадание

Course Wrap-up

Course SummaryВидеоCongratulations and Next StepsЧтение
Bayes’ Formula: ExamplesВидео
Check Your Understanding: Bayes’ Formula: Examples Задание
Independent or Dependent EventsВидео
Check Your Understanding: Independent or Dependent EventsЗадание
Independent or Dependent Events: Example Видео
Check Your Understanding: Independent or Dependent Events: Example Задание
Bayes' FormulaЧтение
Mean and Variance: Example 2Видео
Check Your Understanding: Mean and Variance: Example 2Задание
Mean and Variance: Example 3Видео
Check Your Understanding: Mean and Variance: Example 3Задание
Discrete Random Variables Чтение
Continuous Random Variables: ExamplesВидео
Check Your Understanding: Continuous Random Variables: ExamplesЗадание
Continuous Random Variables Чтение
Variance of Poisson DistributionВидео
Check Your Understanding: Variance of Poisson DistributionЗадание
Recurrence RelationВидео
Check Your Understanding: Recurrence RelationЗадание
Relation Between Binomial and Poisson Distributions Видео
Check Your Understanding: Relation Between Binomial and Poisson Distributions Задание
Poisson Distribution Чтение
Properties of Normal DistributionЧтение
Beta DistributionВидео
Check Your Understanding: Beta DistributionЗадание
Other Continuous Distributions Чтение
Interval Estimation: Proportion Видео
Check Your Understanding: Interval Estimation: Proportion Задание
Interval Estimation: Example 1Видео
Check Your Understanding: Interval Estimation Example 1Задание
Interval Estimation: Example 2Видео
Check Your Understanding: Interval Estimation Example 2Задание
Interval Estimation: Example 3Видео
Check Your Understanding: Interval Estimation - Example 3Задание
EstimationЧтение
Testing of Hypothesis: Two Means—Small SampleВидео
Check Your Understanding: Two Means - Small SampleЗадание
Testing of Hypothesis Involving MeanЧтение
Two Means—Small Sample: Example 4Видео
Check Your Understanding: Two Means—Small Sample Example 4Задание
Testing of Hypothesis: ExamplesЧтение
Check Your Understanding: Two ProportionsЗадание
Testing of Hypothesis: Example 2Видео
Check Your Understanding: Testing of Hypothesis - Proportion 2Задание
Testing of Hypothesis - ProportionЧтение
Testing of Hypothesis: Several Proportions—Example 3Видео
Check Your Understanding: Several Proportions - 2Задание
Testing of Hypothesis: Several ProportionsЧтение
Matrix FormВидео
Check Your Understanding: Matrix FormЗадание
Simple Linear Regression: Example 1Видео
Simple Linear Regression: Example 2Видео
Check Your Understanding: Simple Linear Regression ExamplesЗадание
Simple Linear RegressionЧтение