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

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

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

                                    Question 1

                                    Poisson distribution mean = ?

                                    A. 0
                                    B. 1
                                    C. Variance
                                    D. #


                                    Question 2

                                    Histogram vs bar chart:

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


                                    Question 3

                                    Type II error # is:

                                    A. Sample error
                                    B. Reject H# when true
                                    C. Accept H# when false
                                    D. 1 # #


                                    Question 4

                                    Sample correlation r = 0.6. R² = ?

                                    A. 0.6
                                    B. 0.36
                                    C. 0.16
                                    D. 1


                                    Question 5

                                    Standard deviation increases #

                                    A. Variance decreases
                                    B. Data closer
                                    C. Mean increases
                                    D. Data more spread out


                                    Solutions:

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

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