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WGU Applied-Probability-and-Statistics Exam Syllabus Topics:
| Section | Objectives |
| Regression and Correlation | - Relationship analysis
- 1. Correlation coefficient interpretation
- 2. Simple linear regression basics
|
| 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)
|
| 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)
|
| 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 visualization
- 1. Box plots and interpretation
- 2. Histograms and frequency distributions
- Data summarization
- 1. Measures of central tendency (mean, median, mode)
- 2. Measures of variability (range, variance, standard deviation)
|
WGU Applied Probability and Statistics (FZO1 C955) Sample Questions:
1. A university surveys faculty and students to determine support for a new campus recycling initiative.
The results of the survey are shown in the following 2 × 2 contingency table:

Which statement is true?
A) Faculty members are slightly less likely than students to support the recycling initiative.
B) Faculty members are slightly more likely than students to support the recycling initiative.
C) Faculty members are much more likely than students to support the recycling initiative.
D) Faculty members are much less likely than students to support the recycling initiative.
2. 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) 75%
B) 10.5%
C) 12.5%
D) 68%
3. Independent events: P(A|B) = ?
A) P(A)
B) P(A) + P(B)
C) 0
D) P(B)
4. 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) .27
B) .67
C) .40
D) .44
5. Probability of rolling an odd number on a die:
A) 2/3
B) 1/6
C) 1/3
D) 1/2
Solutions:
Question # 1 Answer: C | Question # 2 Answer: B | Question # 3 Answer: A | Question # 4 Answer: B | Question # 5 Answer: D |