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

SectionObjectives
Topic 1: 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. Outliers and relationships
          • 2. Scatter plots interpretation
            • 3. Correlation
              Topic 2: Statistical Inference- Hypothesis Testing (Introductory Level)
              • 1. Null vs alternative hypothesis
                • 2. p-values interpretation
                  - Estimation and Confidence Intervals
                  • 1. Point estimates
                    • 2. Confidence interval interpretation
                      Topic 3: Regression and Modeling- Linear Relationships
                      • 1. Simple linear regression
                        • 2. Slope and intercept interpretation
                          Topic 4: Probability Theory- Probability Distributions
                          • 1. Binomial distribution basics
                            • 2. Normal distribution
                              - Fundamental Probability Concepts
                              • 1. Independent vs dependent events
                                • 2. Conditional probability
                                  • 3. Basic probability rules

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

                                    Question 1

                                    Empirical probability is based on:

                                    A. Theoretical models
                                    B. Observed frequency of events
                                    C. Classical calculation
                                    D. Subjective guess


                                    Question 2

                                    Probability of exactly 1 head in 2 coin flips = ?

                                    A. 1/4
                                    B. 1
                                    C. 3/4
                                    D. 1/2


                                    Question 3

                                    A dataset: 2, 4, 6, 8, 10. Variance = ?

                                    A. 6.25
                                    B. 5
                                    C. 10
                                    D. 8


                                    Question 4

                                    R² = 0.81 # correlation r = ?

                                    A. 0.9
                                    B. ±0.81
                                    C. ±0.9
                                    D. 0.81


                                    Question 5

                                    Probability of drawing red card from deck = ?

                                    A. 1/13
                                    B. 1/4
                                    C. 26/52 = 1/2
                                    D. 1/6


                                    Solutions:

                                    Question 1
                                    Answer: B
                                    Question 2
                                    Answer: D
                                    Question 3
                                    Answer: C
                                    Question 4
                                    Answer: C
                                    Question 5
                                    Answer: C

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