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

SectionObjectives
Probability- Fundamental probability concepts
  • 1. Conditional probability and independence
    • 2. Events and sample spaces
      - Probability rules
      • 1. Bayes’ theorem (introductory level)
        • 2. Addition and multiplication rules
          Probability Distributions- Continuous distributions
          • 1. Normal distribution
            • 2. Standard normal and z-scores
              - Discrete distributions
              • 1. Poisson distribution (introductory use cases)
                • 2. Binomial distribution
                  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
                          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)
                                Regression and Correlation- Relationship analysis
                                • 1. Simple linear regression basics
                                  • 2. Correlation coefficient interpretation

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

                                    Question 1

                                    A hospital analyzes the recovery rates of patients undergoing two different treatments for a specific condition.
                                    Treatment X has an overall recovery rate of 80%, while Treatment Y has a recovery rate of 90%. However, when the data is divided by age groups, Treatment X has a higher recovery rate in each age group compared to Treatment Y.
                                    Is Simpson's paradox present in this study?

                                    A. No, because the study does not involve a confounding variable that affects recovery rates.
                                    B. No, because the overall recovery rate is higher for Treatment Y.
                                    C. Yes, because the overall recovery rates are inconsistent with the age group-specific rates.
                                    D. Yes, because the recovery rates differ between the two treatments.


                                    Question 2

                                    Ten teachers each had a jar of jelly beans. The jars had this number of jelly beans in each respective jar: 50,
                                    60, 80, 80, 100, 100, 100, 120, 120, and 140.
                                    What is the mean of these data?

                                    A. 95
                                    B. 100
                                    C. 120
                                    D. 80


                                    Question 3

                                    Standard deviation squared = ?

                                    A. Variance
                                    B. Median
                                    C. Mean
                                    D. Standard error


                                    Question 4

                                    95% confidence interval for mean = (45, 55). Which statement is correct?

                                    A. Population mean is 95% likely within interval
                                    B. Population mean always 55
                                    C. Mean is 50
                                    D. Interval is fixed probability


                                    Question 5

                                    A home inspector finds 3% of the homes in a community infected with termites.
                                    How should the home inspector's findings be interpreted?

                                    A. It is likely that a home in the community is infected with termites.
                                    B. It is as likely as unlikely that a home in the community is infected with termites.
                                    C. It is unlikely that a home in the community is infected with termites.
                                    D. It is impossible that a home in the community is infected with termites.


                                    Solutions:

                                    Question 1
                                    Answer: C
                                    Question 2
                                    Answer: A
                                    Question 3
                                    Answer: A
                                    Question 4
                                    Answer: A
                                    Question 5
                                    Answer: C

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