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WGU Applied-Probability-and-Statistics Exam Syllabus Topics:
| Section | Objectives |
| Probability | - Probability rules
- 1. Bayes’ theorem (introductory level)
- 2. Addition and multiplication rules
- Fundamental probability concepts
- 1. Events and sample spaces
- 2. Conditional probability and independence
|
| Statistical Inference | - Estimation
- 1. Confidence intervals for means and proportions
- Hypothesis testing
- 1. t-tests and z-tests (basic application)
- 2. Null and alternative hypotheses
|
| 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)
|
| Probability Distributions | - Discrete distributions
- 1. Poisson distribution (introductory use cases)
- 2. Binomial distribution
- Continuous distributions
- 1. Standard normal and z-scores
- 2. Normal distribution
|
| Regression and Correlation | - Relationship analysis
- 1. Simple linear regression basics
- 2. Correlation coefficient interpretation
|
WGU Applied Probability and Statistics (FZO1 C955) Sample Questions:
Poisson mean = 4. Probability of exactly 2 events?
- A. (e^-4 × 4²)/2! = 0.1465
- B. 0.25
- C. 0.5
- D. 0.2
Answer: A
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A die is rolled twice. Probability of rolling two sixes?
- A. 1/36
- B. 1/6
- C. 1/12
- D. 1/4
Answer: A
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The table shows the results of a survey of favorite movie genres.

What is the probability of selecting an action and then a comedy respondent if the selection is replaced?
- A. 10.5%
- B. 68%
- C. 12.5%
- D. 75%
Answer: A
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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. 7/10
- B. 4/5
- C. 1/2
- D. 3/5
Answer: A
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Central limit theorem applies when:
- A. Sample size large
- B. Population unknown
- C. Data categorical
- D. Population must be normal
Answer: A
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