Ideal WGU Applied-Probability-and-Statistics Exam Questions For Quick Success Updated 2026

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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: 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 3: Probability- Fundamental probability concepts
                • 1. Conditional probability and independence
                  • 2. Events and sample spaces
                    - Probability rules
                    • 1. Addition and multiplication rules
                      • 2. Bayes’ theorem (introductory level)
                        Topic 4: Descriptive Statistics- Data visualization
                        • 1. Histograms and frequency distributions
                          • 2. Box plots and interpretation
                            - Data summarization
                            • 1. Measures of central tendency (mean, median, mode)
                              • 2. Measures of variability (range, variance, standard deviation)
                                Topic 5: Regression and Correlation- Relationship analysis
                                • 1. Correlation coefficient interpretation
                                  • 2. Simple linear regression basics

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                                    WGU Applied Probability and Statistics (FZO1 C955) Sample Questions (Q10-Q15):

                                    NEW QUESTION # 10
                                    Dataset: 5, 7, 7, 10. Standard deviation?

                                    Answer: A

                                    Explanation:
                                    The standard deviation measures the typical distance of data values from the mean. For the dataset 5, 7, 7, 10, the mean is (5 + 7 + 7 + 10) ÷ 4 = 29 ÷ 4 = 7.25. The deviations from the mean are #2.25, #0.25, #0.25, and
                                    2.75. Squaring these deviations gives 5.0625, 0.0625, 0.0625, and 7.5625. The sum of squared deviations is
                                    12.75. If treated as a sample, the variance is 12.75 ÷ 3 = 4.25, and the sample standard deviation is #4.25 #
                                    2.06. If rounded using the answer set provided, the closest available value is 2.16. The key conceptual point is that standard deviation cannot be 0 unless all values are identical, and it is not as large as 3 because the observations are relatively close to the mean. Study Guide references/topics: mean, variance, standard deviation, spread of data.


                                    NEW QUESTION # 11
                                    Review the following inequality:
                                    y < x # 1/2
                                    Which shaded portion in the graphs corresponds to this inequality?



                                    Answer: B

                                    Explanation:
                                    The inequality y < x # 1/2 has boundary line y = x # 1/2. This line has slope 1 and y-intercept #1/2, so it crosses the y-axis slightly below the origin and rises one unit for every one unit moved to the right. Because the inequality is strict, using " < " rather than "#," the boundary line must be dashed, showing that points on the line are not included in the solution set. The solution region must be shaded below the line because y is less than the expression x # 1/2. A useful verification method is the test point (0, 0). Substituting gives 0 < 0 #
                                    1/2, or 0 < #1/2, which is false. Therefore, the region containing the origin should not be shaded. The fourth graph has the dashed boundary with intercept #1/2 and shades the region below the line while excluding the origin. References/topics from the Study Guide: graphing linear inequalities, slope-intercept form, dashed boundaries, test-point method.


                                    NEW QUESTION # 12
                                    Poisson mean = 4. Probability of exactly 2 events?