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

SectionObjectives
Topic 1: Statistical Inference- Estimation
  • 1. Confidence intervals for means and proportions
    - Hypothesis testing
    • 1. Null and alternative hypotheses
      • 2. t-tests and z-tests (basic application)
        Topic 2: Probability Distributions- Continuous distributions
        • 1. Normal distribution
          • 2. Standard normal and z-scores
            - Discrete distributions
            • 1. Poisson distribution (introductory use cases)
              • 2. Binomial distribution
                Topic 3: 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 4: Regression and Correlation- Relationship analysis
                        • 1. Simple linear regression basics
                          • 2. Correlation coefficient interpretation
                            Topic 5: 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)

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

                                    1. A dataset: 4, 8, 12, 16, 20. Mean = ?

                                    A) 14
                                    B) 16
                                    C) 10
                                    D) 12


                                    2. A 10-sided die is rolled in a role-playing game.
                                    What is the probability of rolling a number that is a multiple of 2 or greater than 7?

                                    A) 3/5
                                    B) 7/10
                                    C) 4/5
                                    D) 1/2


                                    3. Standard deviation increases #

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


                                    4. One-sample t-test compares:

                                    A) Proportions
                                    B) Two independent samples
                                    C) Variances
                                    D) Sample mean vs known population mean


                                    5. A recording studio raises its use fee to $75 and charges $40 per hour for studio time. The equation of the total cost of a recording session as a function of studio time is y = 40x + 75.
                                    Which graph represents this equation?



                                    A) Graph 3
                                    B) Graph 4
                                    C) Graph 1
                                    D) Graph 2


                                    Solutions:

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

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