Random Variables

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    Chapter 6 Random Variables (79 videos) (Practice Test)

      6.1: Random Variables (Practice Test)
      Random Variable
    1. Random Variable
      644 views
      2. Discrete and Continuous Random Variable
    2. Discrete and Continuous Random Variable
      426 views
      6.2: The Cummulative Distribution Function (Practice Test)
      The Cumulative Distribution Function
    1. The Cumulative Distribution Function
      128 views
      2. Determining Probabilities From Distribution Function
    2. Determining Probabilities From Distribution Function
      97 views
      3. Problem - The Cumulative Distribution Function
    3. Problem - The Cumulative Distribution Function
      1191 views
      4. Cumulative Distribution and Probability Mass Function
    4. Cumulative Distribution and Probability Mass Function
      177 views
      6.3: Discrete Probability Distribution (Practice Test)
      Introducing Probability Distribution
    1. Introducing Probability Distribution
      381 views
      2. Probability Mass Function
    2. Probability Mass Function
      482 views
      3. Probability Distribution of Discrete Random Variable
    3. Probability Distribution of Discrete Random Variable
      586 views
      4. More on Probability Distribution of Discrete Random Variable
    4. More on Probability Distribution of Discrete Random Variable
      308 views
      5. Problem - Probability Distribution of Discrete Random Variable
    5. Problem - Probability Distribution of Discrete Random Variable
      361 views
      6. Cumulative Distribution and Probability Mass Function
    6. Cumulative Distribution and Probability Mass Function
      177 views
      6.4: Continuous Probability Distribution (Practice Test)
      The Probability Density Function
    1. The Probability Density Function
      157 views
      2. More on Probability Density Function
    2. More on Probability Density Function
      99 views
      3. Problem - The Probability Density Function
    3. Problem - The Probability Density Function
      110 views
      4. The PDF of Continuous Distribution
    4. The PDF of Continuous Distribution
      287 views
      5. More on The PDF of Continuous Distribution
    5. More on The PDF of Continuous Distribution
      176 views
      6. Finding Area Under the Curve with Trapezoidal Rule
    6. Finding Area Under the Curve with Trapezoidal Rule
      173 views
      7. More on Finding Area Under the Curve with Trapezoidal Rule
    7. More on Finding Area Under the Curve with Trapezoidal Rule
      129 views
      8. Probability Density Function using Integration Method
    8. Probability Density Function using Integration Method
      82 views
      9. Problem-Probability Density Function using Integration Method
    9. Problem-Probability Density Function using Integration Method
      48 views
      10. More on Problem-Probability Density Function using Integration Method
    10. More on Problem-Probability Density Function using Integration Method
      55 views
      11. Cumulative Distribution and Probability Density Function
    11. Cumulative Distribution and Probability Density Function
      45 views
      12. Problem-Cumulative Distribution and Probability Density Function
    12. Problem-Cumulative Distribution and Probability Density Function
      45 views
      6.5: Joint Distribution (Practice Test)
      Joint Probability Distribution of Two Random Variables
    1. Joint Probability Distribution of Two Random Variables
      833 views
      2. Discrete Joint Distributions
    2. Discrete Joint Distributions
      124 views
      3. More on Discrete Joint Distributions
    3. More on Discrete Joint Distributions
      89 views
      4. Problem - Discrete Joint Distributions
    4. Problem - Discrete Joint Distributions
      76 views
      5. Continuous Joint Distribution of Two Random Variables
    5. Continuous Joint Distribution of Two Random Variables
      330 views
      6. Problem-Continuous Joint Distribution of Two Random Variables
    6. Problem-Continuous Joint Distribution of Two Random Variables
      80 views
      7. Marginal Probability
    7. Marginal Probability
      709 views
      8. Marginal Probability Density Function of Two Continuous Random Variables
    8. Marginal Probability Density Function of Two Continuous Random Variables
      334 views
      9. Independence of Joint Distribution of Two Discrete Variables
    9. Independence of Joint Distribution of Two Discrete Variables
      27 views
      10. Independence of Joint Random Variables of Two Continuous Variables
    10. Independence of Joint Random Variables of Two Continuous Variables
      31 views
      11. Discrete Conditional Distributions
    11. Discrete Conditional Distributions
      76 views
      12. Problem - Discrete Conditional Distributions
    12. Problem - Discrete Conditional Distributions
      44 views
      13. More on Problem - Discrete Conditional Distributions
    13. More on Problem - Discrete Conditional Distributions
      41 views
      14. Continuous Conditional Distributions
    14. Continuous Conditional Distributions
      21 views
      15. Problem - Continuous Conditional Distributions
    15. Problem - Continuous Conditional Distributions
      43 views
      6.6: Mathematical Expectation (Practice Test)
      Expectation
    1. Expectation
      167 views
      2. Applications of Expectation
    2. Applications of Expectation
      210 views
      3. The Expected Value of Random Variable
    3. The Expected Value of Random Variable
      284 views
      4. Use of Expected Value in Decision Making
    4. Use of Expected Value in Decision Making
      231 views
      5. More on Use of Expected Value in Decision Making
    5. More on Use of Expected Value in Decision Making
      136 views
      6. How Probability Helps Expectations
    6. How Probability Helps Expectations
      138 views
      7. The Expectation of a Discrete Distribution
    7. The Expectation of a Discrete Distribution
      126 views
      8. Problem1-The Expectation of a Discrete Distribution
    8. Problem1-The Expectation of a Discrete Distribution
      114 views
      9. Problem2-The Expectation of a Discrete Distribution
    9. Problem2-The Expectation of a Discrete Distribution
      104 views
      10. More on Problem2-The Expectation of a Discrete Distribution
    10. More on Problem2-The Expectation of a Discrete Distribution
      96 views
      11. The Expectation of a Function
    11. The Expectation of a Function
      54 views
      12. Laws of Expectation
    12. Laws of Expectation
      260 views
      13. More on Laws of Expectation
    13. More on Laws of Expectation
      105 views
      14. Addition and Subtraction Laws of Expectation
    14. Addition and Subtraction Laws of Expectation
      141 views
      15. Multiplication Law of Expectation
    15. Multiplication Law of Expectation
      200 views
      16. Problem-Laws of Expectation
    16. Problem-Laws of Expectation
      125 views
      6.7: properties of Variances (Practice Test)
      Properties of Variance1
    1. Properties of Variance1
      167 views
      2. Properties of Variance2
    2. Properties of Variance2
      106 views
      3. Properties of Variance3
    3. Properties of Variance3
      93 views
      4. Properties of Variance4
    4. Properties of Variance4
      89 views
      5. Problem-Properties of Variance
    5. Problem-Properties of Variance
      115 views
      6. More on Problem-Properties of Variance
    6. More on Problem-Properties of Variance
      142 views
      6.8: Sum or Differences of Variances of Random Variables (Practice Test)
      Variance of the Sum or Difference of Two Random Variables1
    1. Variance of the Sum or Difference of Two Random Variables1
      110 views
      2. Variance of the Sum or Difference of Two Random Variables2
    2. Variance of the Sum or Difference of Two Random Variables2
      83 views
      3. Variance of the Sum or Difference of Two Random Variables3
    3. Variance of the Sum or Difference of Two Random Variables3
      93 views
      4. Variance of the Sum or Difference of Two Random Variables4
    4. Variance of the Sum or Difference of Two Random Variables4
      87 views
      5. Problem-Variance of the Sum or Difference of Two Random Variables
    5. Problem-Variance of the Sum or Difference of Two Random Variables
      93 views
      6.9: The Median and Mode of Random Variables (Practice Test)
      The Median and Mode of Discrete Distribution
    1. The Median and Mode of Discrete Distribution
      173 views
      2. The Median of Continuous Distribution
    2. The Median of Continuous Distribution
      282 views
      3. The Mode of Continuous Distribution
    3. The Mode of Continuous Distribution
      160 views
      6.10: Chebyshev's Inequality
      Chebyshev's Inequality
    1. Chebyshev's Inequality
      4378 views
      6.11: Covariance of Random Variables (Practice Test)
      Correlation
    1. Correlation
      1125 views
      2. Covariance of Two Random Variables
    2. Covariance of Two Random Variables
      511 views
      3. Problem - Covariance of Two Random Variables
    3. Problem - Covariance of Two Random Variables
      160 views
      6.12: Conditional Expectation (Practice Test)
      Conditional Expectation
    1. Conditional Expectation
      68 views
      2. Utility Functions
    2. Utility Functions
      40 views
      6.13: Moment Generating Function
      Moment Generating Function
    1. Moment Generating Function
      373 views
      2. Moment Generating Function-Formula Extension
    2. Moment Generating Function-Formula Extension
      52 views
      3. Properties of the Moment Generating Function
    3. Properties of the Moment Generating Function
      677 views
      4. Problem - Moment Generating Function
    4. Problem - Moment Generating Function
      76 views