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

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

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

                                    Question #1

                                    In a class of 40 students, the following data were collected on their favorite sport:
                                    * Soccer: 10 students
                                    * Basketball: 15 students
                                    * Tennis: 5 students
                                    * Swimming: 10 students
                                    What is the relative frequency of students whose favorite sport is not basketball?

                                    • A. 0.75
                                    • B. 0.25
                                    • C. 0.50
                                    • D. 0.625
                                    Reveal Solution  Discussion  0

                                    Correct Answer: D  🗳️

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                                    Question #2

                                    Z-score negative #

                                    • A. Unknown
                                    • B. Value above mean
                                    • C. Equal to mean
                                    • D. Value below mean
                                    Reveal Solution  Discussion  0

                                    Correct Answer: D  🗳️

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                                    Question #3

                                    Two dice rolled. Probability sum = 7?

                                    • A. 6/36
                                    • B. 1/12
                                    • C. 5/36
                                    • D. 1/6
                                    Reveal Solution  Discussion  0

                                    Correct Answer: A  🗳️

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                                    Question #4

                                    Type II error # is:

                                    • A. Accept H# when false
                                    • B. Reject H# when true
                                    • C. Sample error
                                    • D. 1 # #
                                    Reveal Solution  Discussion  0

                                    Correct Answer: A  🗳️

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                                    Question #5

                                    In a class of 30 students, 18 are enrolled in a math course, and 12 are enrolled in a science course. Among the students enrolled in the science course, 8 are also enrolled in the math course.
                                    What is the probability that a student is enrolled in the math course given that they are enrolled in the science course?

                                    • A. .44
                                    • B. .27
                                    • C. .67
                                    • D. .40
                                    Reveal Solution  Discussion  0

                                    Correct Answer: C  🗳️

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