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WGU Applied-Probability-and-Statistics Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Basic Numeracy & Algebra | 15% | - Exponents, roots, and basic formulas - Arithmetic operations, fractions, decimals, percentages - Linear equations, inequalities, graphing functions |
| Topic 2: Inferential Statistics & Study Design | 20% | - Confidence intervals for means/proportions - Observational studies vs experiments - Hypothesis testing framework and interpretation - Sampling methods and bias |
| Topic 3: Probability Concepts | 20% | - Conditional probability and Venn diagrams - Discrete and continuous probability distributions - Probability rules, independent and dependent events - Normal distribution and empirical rule |
| Topic 4: Descriptive Statistics | 25% | - Measures of spread: range, IQR, variance, standard deviation - Graphical displays: histograms, boxplots, scatterplots - Measures of center: mean, median, mode - Types of data: categorical, discrete, continuous |
| Topic 5: Correlation & Regression | 20% | - Predictions and limitations of regression - Interpreting slope, intercept, and R-squared - Correlation coefficient and interpretation - Simple linear regression models |
WGU Applied Probability and Statistics (FZO1 C955) Sample Questions:
1. Sample mean = best point estimate of population mean?
A) Only for categorical data
B) True
C) Only when the sample size is 1
D) False
2. 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) Yes, because the recovery rates differ between the two treatments.
B) No, because the study does not involve a confounding variable that affects recovery rates.
C) Yes, because the overall recovery rates are inconsistent with the age group-specific rates.
D) No, because the overall recovery rate is higher for Treatment Y.
3. Correlation r = 0.8 # strong positive relationship #
A) True
B) True only for categorical variables
C) True only when r is negative
D) False
4. Determine z in the equation:
1/(6z) = 2/9
A) 9/12
B) 12/9
C) 2/54
D) 18/2
5. Z-score formula = ?
A) x/ #
B) (x + # )/ #
C) # / #
D) (x # # )/ #
Solutions:
| Question # 1 Answer: B | Question # 2 Answer: C | Question # 3 Answer: A | Question # 4 Answer: A | Question # 5 Answer: D |






