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

SectionObjectives
Regression and Correlation- Relationship analysis
  • 1. Correlation coefficient interpretation
    • 2. Simple linear regression basics
      Statistical Inference- Hypothesis testing
      • 1. t-tests and z-tests (basic application)
        • 2. Null and alternative hypotheses
          - Estimation
          • 1. Confidence intervals for means and proportions
            Probability Distributions- Discrete distributions
            • 1. Poisson distribution (introductory use cases)
              • 2. Binomial distribution
                - Continuous distributions
                • 1. Normal distribution
                  • 2. Standard normal and z-scores
                    Descriptive Statistics- Data summarization
                    • 1. Measures of central tendency (mean, median, mode)
                      • 2. Measures of variability (range, variance, standard deviation)
                        - Data visualization
                        • 1. Histograms and frequency distributions
                          • 2. Box plots and interpretation
                            Probability- Fundamental probability concepts
                            • 1. Conditional probability and independence
                              • 2. Events and sample spaces
                                - Probability rules
                                • 1. Bayes’ theorem (introductory level)
                                  • 2. Addition and multiplication rules

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

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

                                    Which statement is true?

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


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

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


                                    3. Standard error decreases when:

                                    A) Confidence decreases
                                    B) Decreases
                                    C) SD increases
                                    D) Sample size increases


                                    4. Review the following inequality:
                                    y # #4x + 1
                                    Which shaded region is described by this inequality?



                                    A) Graph A
                                    B) Graph C
                                    C) Graph D
                                    D) Graph B


                                    5. Regression R² = 0.64. Interpretation?

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


                                    Solutions:

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

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