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Discrete Random Variables in Statistics

Track :

Mathematics

Lessons no : 26

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What will you learn in this course?

Understand the fundamental concepts of discrete random variables and their probability distributions in statistical analysis
Apply probability mass functions to model discrete random variables in real-world scenarios
Calculate expected values, variances, and other moments for discrete random variables accurately
Identify and interpret common discrete distributions such as Binomial, Poisson, and Geometric in practical contexts
Analyze and solve problems involving discrete random variables using statistical methods and formulas

Utilize discrete random variables to perform hypothesis testing and inferential statistics effectively
Develop skills to model real-world data with appropriate discrete probability distributions
Evaluate the suitability of different discrete distributions for various statistical applications
Implement computational tools to simulate and analyze discrete random variables in statistical software
Communicate insights and findings from discrete random variable analysis clearly and effectively

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Lessons | 26

Statistics Ch 5 Discrete Random Variable 1 of 27 What is a Random Variable

Statistics Ch 5 Discrete Random Variable 1 of 27 What is a Random Variable

Statistics Ch 5 Discrete Random Variable 2 of 27 What is a Discrete Random Variable

Statistics Ch 5 Discrete Random Variable 2 of 27 What is a Discrete Random Variable

Statistics Ch 5 Discrete Random Variable 3 of 27 Probability of Making a Basket per 100 Tries

Statistics Ch 5 Discrete Random Variable 3 of 27 Probability of Making a Basket per 100 Tries

Statistics Ch 5 Discrete Random Variable 4 of 27 A Discrete Random Variable Example

Statistics Ch 5 Discrete Random Variable 4 of 27 A Discrete Random Variable Example

Statistics Ch 5 Discrete Random Variable 5 of 27 What is the Probability Distribution

Statistics Ch 5 Discrete Random Variable 5 of 27 What is the Probability Distribution

Statistics Ch 5 Discrete Random Variable 6 of 27 The Probability Histogram

Statistics Ch 5 Discrete Random Variable 6 of 27 The Probability Histogram

Statistics Ch 5 Discrete Random Variable 7 of 27 The Probability Function

Statistics Ch 5 Discrete Random Variable 7 of 27 The Probability Function

Statistics Ch 5 Discrete Random Variable 8 of 27 The Two Basic Properties of Probabilities

Statistics Ch 5 Discrete Random Variable 8 of 27 The Two Basic Properties of Probabilities

Statistics Ch 5 Discrete Random Variable 9 of 27 Probability Function Example

Statistics Ch 5 Discrete Random Variable 9 of 27 Probability Function Example

Statistics Ch 5 Distcrete Random Variable 10 of 27 Determine the Probability Distribution

Statistics Ch 5 Distcrete Random Variable 10 of 27 Determine the Probability Distribution

Statistics Ch 5 Discrete Random Variable 11 of 27 Finding the Mean of a Probability Distribution

Statistics Ch 5 Discrete Random Variable 11 of 27 Finding the Mean of a Probability Distribution

Statistics Ch 5 Discrete Random Variable 12 of 27 Finding Variance of a Probability Distribution

Statistics Ch 5 Discrete Random Variable 12 of 27 Finding Variance of a Probability Distribution

Statistics Ch 5 Discrete Random Variable 13 of 27 Variance Summary Table

Statistics Ch 5 Discrete Random Variable 13 of 27 Variance Summary Table

Statistics Ch 5 Discrete Random Variable 14 of 27 Alternate Form of the Variance Equation

Statistics Ch 5 Discrete Random Variable 14 of 27 Alternate Form of the Variance Equation

Statistics Ch 5 Discrete Random Variable 15 of 27 Probability Distribution 3 Coins

Statistics Ch 5 Discrete Random Variable 15 of 27 Probability Distribution 3 Coins

Statistics Ch 5 Discrete Random Variable 16 of 27 Probability Distribution Multiple Choice

Statistics Ch 5 Discrete Random Variable 16 of 27 Probability Distribution Multiple Choice

Statistics Ch 5 Discrete Random Variable 17 of 27 The Binomial Probability Distribution

Statistics Ch 5 Discrete Random Variable 17 of 27 The Binomial Probability Distribution

Statistics Ch 5 Discrete Random Variable 18 of 27 The Binomial Probability Distribution

Statistics Ch 5 Discrete Random Variable 18 of 27 The Binomial Probability Distribution

Statistics Ch 5 Discrete Random Variable 19 of 27 The Binomial Probability Tree Diagram

Statistics Ch 5 Discrete Random Variable 19 of 27 The Binomial Probability Tree Diagram

Statistics Ch 5 Discrete Random Variable 20 of 27 Answers to the Questions of the Guess Test

Statistics Ch 5 Discrete Random Variable 20 of 27 Answers to the Questions of the Guess Test

Statistics Ch 5 Discrete Random Variable 21 of 27 Draw 5 cards with Replacement

Statistics Ch 5 Discrete Random Variable 21 of 27 Draw 5 cards with Replacement

Statistics Ch 5 Discrete Random Variable 22 of 27 Is x a Binomial Random Variable

Statistics Ch 5 Discrete Random Variable 22 of 27 Is x a Binomial Random Variable

Statistics Ch 5 Discrete Random Variable 23 of 27 Probability of Manufacturing Defective Matches

Statistics Ch 5 Discrete Random Variable 23 of 27 Probability of Manufacturing Defective Matches

Statistics Ch 5 Discrete Random Variable 24 of 27 Baskets from the Free Throw Line

Statistics Ch 5 Discrete Random Variable 24 of 27 Baskets from the Free Throw Line

Statistics Ch 5 Discrete Random Variable 25 of 27 The Mean of a Binomial Distribution

Statistics Ch 5 Discrete Random Variable 25 of 27 The Mean of a Binomial Distribution

Statistics Ch 5 Discrete Random Variable 26 of 27 Standard Deviation of a Binomial Distribution

Statistics Ch 5 Discrete Random Variable 26 of 27 Standard Deviation of a Binomial Distribution

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Discrete Random Variables course, in this course we will learn about the fundamentals and applications of discrete random variables in statistical analysis.