Statistics for Business

  1. Probability Theory
    1. Fundamental Concepts
      1. Definitions of Probability
        1. Classical Probability
          1. Empirical Probability
            1. Subjective Probability
            2. Sample Spaces and Events
              1. Sample Space
                1. Simple Events
                  1. Compound Events
                    1. Mutually Exclusive Events
                      1. Collectively Exhaustive Events
                      2. Probability Notation
                        1. Basic Probability Properties
                        2. Types of Probability
                          1. Simple Probability
                            1. Joint Probability
                              1. Marginal Probability
                                1. Conditional Probability
                                  1. Calculation
                                    1. Independence of Events
                                      1. Dependent Events
                                    2. Probability Rules
                                      1. Addition Rule
                                        1. Mutually Exclusive Events
                                          1. Non-Mutually Exclusive Events
                                          2. Multiplication Rule
                                            1. Independent Events
                                              1. Dependent Events
                                              2. Complement Rule
                                                1. Bayes' Theorem
                                                  1. Formula and Calculation
                                                    1. Business Applications
                                                      1. Updating Probabilities
                                                    2. Discrete Probability Distributions
                                                      1. Random Variables
                                                        1. Discrete Random Variables
                                                          1. Probability Mass Function
                                                          2. Expected Value
                                                            1. Calculation
                                                              1. Interpretation
                                                              2. Variance of Discrete Distributions
                                                                1. Binomial Distribution
                                                                  1. Assumptions
                                                                    1. Mean and Variance
                                                                      1. Business Applications
                                                                        1. Binomial Tables
                                                                        2. Poisson Distribution
                                                                          1. Assumptions
                                                                            1. Mean and Variance
                                                                              1. Business Applications
                                                                                1. Poisson Tables
                                                                                2. Hypergeometric Distribution
                                                                                  1. Assumptions
                                                                                    1. Mean and Variance
                                                                                      1. Business Applications
                                                                                    2. Continuous Probability Distributions
                                                                                      1. Continuous Random Variables
                                                                                        1. Probability Density Function
                                                                                          1. Cumulative Distribution Function
                                                                                            1. Expected Value and Variance
                                                                                              1. Uniform Distribution
                                                                                                1. Calculations
                                                                                                2. Normal Distribution
                                                                                                  1. Characteristics
                                                                                                    1. Parameters
                                                                                                      1. Standard Normal Distribution
                                                                                                        1. Z-Transformation
                                                                                                          1. Normal Tables
                                                                                                            1. Business Applications
                                                                                                            2. Exponential Distribution
                                                                                                              1. Calculations

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                                                                                                          2. Descriptive Statistics

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                                                                                                          4. Sampling and Sampling Distributions