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

SectionObjectives
Topic 1: Probability Distributions- Continuous distributions
  • 1. Standard normal and z-scores
    • 2. Normal distribution
      - Discrete distributions
      • 1. Poisson distribution (introductory use cases)
        • 2. Binomial distribution
          Topic 2: Probability- Probability rules
          • 1. Addition and multiplication rules
            • 2. Bayes’ theorem (introductory level)
              - Fundamental probability concepts
              • 1. Events and sample spaces
                • 2. Conditional probability and independence
                  Topic 3: Regression and Correlation- Relationship analysis
                  • 1. Simple linear regression basics
                    • 2. Correlation coefficient interpretation
                      Topic 4: Descriptive Statistics- Data summarization
                      • 1. Measures of central tendency (mean, median, mode)
                        • 2. Measures of variability (range, variance, standard deviation)
                          - Data visualization
                          • 1. Box plots and interpretation
                            • 2. Histograms and frequency distributions
                              Topic 5: Statistical Inference- Estimation
                              • 1. Confidence intervals for means and proportions
                                - Hypothesis testing
                                • 1. t-tests and z-tests (basic application)
                                  • 2. Null and alternative hypotheses

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

                                    1. Probability of rolling 1, 2, or 3 on die = ?

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


                                    2. Sample mean = 40, SD = 8, n = 16. Standard error = ?

                                    A) 2
                                    B) 8
                                    C) 4
                                    D) 0.5


                                    3. Probability of at least one six in 2 dice rolls = ?

                                    A) 25/36
                                    B) 1/36
                                    C) 1/6
                                    D) 11/36


                                    4. Mean = 50, SD = 5, n = 25. Standard error = ?

                                    A) 25
                                    B) 1
                                    C) 0.2
                                    D) 5


                                    5. Standard deviation increases #

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


                                    Solutions:

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

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