Random Variables and Distributions

Sindh Board > Class 11 > Statistics (Total Videos: 421)

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Chapter 9: Random Variables and Distributions (43 videos)   (Practice Test)
9.1: Random Variables  (Practice Test)
  1. Random Variables
  2. Discrete Vs Continuous Random Variable
9.2: 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
  7. The Expected Value of Random Variable
  8. Use of Expected Value in Decision Making
  9. More on Use of Expected Value in Decision Making
9.3: Continuous Probability Distribution  (Practice Test)
  1. The PDF of Continuous Distribution
  2. More on The PDF of Continuous Distribution
  3. Finding Area Under the Curve with Trapezoidal Rule
  4. More on Finding Area Under the Curve with Trapezoidal Rule
  5. Probability Density Function using Integration Method
  6. Problem-Probability Density Function using Integration Method
  7. More on Problem-Probability Density Function using Integration Method
  8. Cummulative Distribution and Probability Density Function
  9. Problem-Cummulative Distribution and Probability Density Function
9.4: The Expectation of Random Variable  (Practice Test)
  1. Expectation
  2. Applications of Expectation
  3. How Probability Helps Expectations
  4. The Expectation of a Discrete Distribution
  5. Problem1-The Expectation of a Discrete Distribution
  6. Problem2-The Expectation of a Discrete Distribution
  7. More on Problem2-The Expectation of a Discrete Distribution
  8. Laws of Expectation
  9. More on Laws of Expectation
  10. Addition and Subtraction Laws of Expectation
  11. Multiplication Law of Expectation
  12. Problem-Laws of Expectation
9.5: 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
9.6: 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