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WGU Applied-Probability-and-Statistics Exam Syllabus Topics:

SectionObjectives
Descriptive Statistics- Single Variable Data Analysis
  • 1. Data visualization (histograms, box plots)
    • 2. Measures of central tendency (mean, median, mode)
      • 3. Measures of dispersion (variance, standard deviation, range)
        - Two Variable Data Analysis
        • 1. Correlation
          • 2. Outliers and relationships
            • 3. Scatter plots interpretation
              Probability Theory- Probability Distributions
              • 1. Normal distribution
                • 2. Binomial distribution basics
                  - Fundamental Probability Concepts
                  • 1. Conditional probability
                    • 2. Independent vs dependent events
                      • 3. Basic probability rules
                        Statistical Inference- Estimation and Confidence Intervals
                        • 1. Point estimates
                          • 2. Confidence interval interpretation
                            - Hypothesis Testing (Introductory Level)
                            • 1. p-values interpretation
                              • 2. Null vs alternative hypothesis
                                Regression and Modeling- Linear Relationships
                                • 1. Slope and intercept interpretation
                                  • 2. Simple linear regression

                                    WGU Applied Probability and Statistics (FZO1 C955) Sample Questions:

                                    1. Probability it does NOT rain = 1 # 0.25 = ?

                                    A) 0.75
                                    B) 1
                                    C) 0.25
                                    D) 0.5


                                    2. Two independent events: P(A) = 0.3, P(B) = 0.2. P(A or B) = ?

                                    A) 0.44
                                    B) 0.06
                                    C) 0.5
                                    D) 0.1


                                    3. Standard error decreases when:

                                    A) Mean increases
                                    B) Sample size decreases
                                    C) SD increases
                                    D) Sample size increases


                                    4. Two events mutually exclusive # P(A and B) = ?

                                    A) P(A)P(B)
                                    B) 0
                                    C) 1
                                    D) P(A) + P(B)


                                    5. A sociologist is investigating the relationship between educational level, high school, bachelor's, master's, and doctorate, and annual income.
                                    How should this study be classified?

                                    A) Quantitative#categorical
                                    B) Categorical#quantitative
                                    C) Categorical#categorical
                                    D) Quantitative#quantitative


                                    Solutions:

                                    Question # 1
                                    Answer: A
                                    Question # 2
                                    Answer: A
                                    Question # 3
                                    Answer: D
                                    Question # 4
                                    Answer: B
                                    Question # 5
                                    Answer: B

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