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

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

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

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

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


                                    2. Regression R² = 0.64. Interpretation?

                                    A) 64% of variation in Y explained by X
                                    B) 64% chance of prediction
                                    C) Correlation = 0.64
                                    D) Slope = 0.64


                                    3. Probability of rolling an odd number on a die:

                                    A) 1/6
                                    B) 1/2
                                    C) 2/3
                                    D) 1/3


                                    4. Histogram vs bar chart:

                                    A) Bar for numeric, histogram for categories
                                    B) None
                                    C) Same
                                    D) Histogram for numeric intervals, bar for categories


                                    5. The dot plot illustrates the frequency of outdoor games played by students per week.

                                    Which statement is true?

                                    A) The mean and median cannot be compared.
                                    B) The mean is significantly bigger than the median.
                                    C) The mean is almost the same as the median.
                                    D) The mean is significantly smaller than the median.


                                    Solutions:

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

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