Random Variables

Punjab Board > Class 13 > Statistics (Total Videos: 693)

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Chapter 6: Random Variables (79 videos)   (Practice Test)
6.1: Random Variables  (Practice Test)
  1. Random Variables
  2. Discrete Vs Continuous Random Variable
6.2: The Cummulative Distribution Function  (Practice Test)
  1. The Cummulative Distribution Function
  2. Determining Probabilities From Distribution Function
  3. Problem - The Cummulative Distribution Function
  4. Cummulative Distribution and Probability Mass Function
6.3: Discrete Probability Distribution  (Practice Test)
  1. Introducing Probability Distribution
  2. Probability Mass Function
  3. Probability Distribution of Discrete Random Variable
  4. More on Probability Distribution of Discrete Random Variable
  5. Problem - Probability Distribution of Discrete Random Variable
  6. Cummulative Distribution and Probability Mass Function
6.4: Continuous Probability Distribution  (Practice Test)
  1. The Probability Density Function
  2. More on Probability Density Function
  3. Problem - The Probability Density Function
  4. The PDF of Continuous Distribution
  5. More on The PDF of Continuous Distribution
  6. Finding Area Under the Curve with Trapezoidal Rule
  7. More on Finding Area Under the Curve with Trapezoidal Rule
  8. Probability Density Function using Integration Method
  9. Problem-Probability Density Function using Integration Method
  10. More on Problem-Probability Density Function using Integration Method
  11. Cummulative Distribution and Probability Density Function
  12. Problem-Cummulative Distribution and Probability Density Function
6.5: Joint Distribution  (Practice Test)
  1. Joint Probability Distribution of Two Random Variables
  2. Discrete Joint Distributions
  3. More on Discrete Joint Distributions
  4. Problem - Discrete Joint Distributions
  5. Continuous Joint Distribution of Two Random Variables
  6. Problem-Continuous Joint Distribution of Two Random Variables
  7. Marginal Probability
  8. Marginal Probability Density Function of Two Continuous Random Variab
  9. Independence of Joint Distribution of Two Discrete Variables
  10. Independence of Joint Random Variables of Two Continuous Variables
  11. Discrete Conditional Distributions
  12. Problem - Discrete Conditional Distributions
  13. More on Problem - Discrete Conditional Distributions
  14. Continuous Conditional Distributions
  15. Problem - Continuous Conditional Distributions
6.6: Mathematical Expectation  (Practice Test)
  1. Expectation
  2. Applications of Expectation
  3. The Expected Value of Random Variable
  4. Use of Expected Value in Decision Making
  5. More on Use of Expected Value in Decision Making
  6. How Probability Helps Expectations
  7. The Expectation of a Discrete Distribution
  8. Problem1-The Expectation of a Discrete Distribution
  9. Problem2-The Expectation of a Discrete Distribution
  10. More on Problem2-The Expectation of a Discrete Distribution
  11. The Expectation of a Function
  12. Laws of Expectation
  13. More on Laws of Expectation
  14. Addition and Subtraction Laws of Expectation
  15. Multiplication Law of Expectation
  16. Problem-Laws of Expectation
6.7: Properties of Variances  (Practice Test)
  1. Properties of Variance1
  2. Properties of Variance2
  3. Properties of Variance3
  4. Properties of Variance4
  5. Problem1 - Properties of Variance
  6. Problem2 - Properties of Variance
6.8: Sum or Differences of Variances of Random Variables  (Practice Test)
  1. Variance of the Sum or Difference of Two Random Variables1
  2. Variance of the Sum or Difference of Two Random Variables2
  3. Variance of the Sum or Difference of Two Random Variables3
  4. Variance of the Sum or Difference of Two Random Variables4
  5. Problem-Variance of the Sum or Difference of Two Random Variables
6.9: The Median and Mode of Random Variables  (Practice Test)
  1. The Median and Mode of Discrete Distribution
  2. The Median of Continuous Distribution
  3. The Mode of Continuous Distribution
6.10: Chebyshev's Inequality
  1. Chebyshev's Inequality
6.11: Covariance of Random Variables  (Practice Test)
  1. Correlation
  2. Covariance of Two Random Variables
  3. Problem - Covariance of Two Random Variables
6.12: Conditional Expectation  (Practice Test)
  1. Conditional Expectation
  2. Utility Functions
6.13: Moment Generating Function
  1. Moment Generating Function
  2. Moment Generating Function-Formula Extension
  3. Properties of the Moment Generating Function
  4. Problem - Moment Generating Function