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WGU Applied-Probability-and-Statistics Exam Syllabus Topics:
| Section | Objectives |
| Topic 1: Descriptive Statistics | - Single Variable Data Analysis
- 1. Data visualization (histograms, box plots)
- 2. Measures of central tendency (mean, median, mode)
- 3. Measures of dispersion (variance, standard deviation, range)
- Two Variable Data Analysis
- 1. Outliers and relationships
- 2. Scatter plots interpretation
- 3. Correlation
|
| Topic 2: Regression and Modeling | - Linear Relationships
- 1. Simple linear regression
- 2. Slope and intercept interpretation
|
| Topic 3: Statistical Inference | - Hypothesis Testing (Introductory Level)
- 1. Null vs alternative hypothesis
- 2. p-values interpretation
- Estimation and Confidence Intervals
- 1. Confidence interval interpretation
- 2. Point estimates
|
| Topic 4: Probability Theory | - Fundamental Probability Concepts
- 1. Independent vs dependent events
- 2. Conditional probability
- 3. Basic probability rules
- Probability Distributions
- 1. Binomial distribution basics
- 2. Normal distribution
|
WGU Applied Probability and Statistics (FZO1 C955) Sample Questions:
Question 1
Empirical probability = ?
A. Based on observed data
B. Uniform
C. Theoretical
D. Guess
Question 2
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. .44
B. .40
C. .67
D. .27
Question 3
A city council surveys residents and business owners about a proposed new public transportation system. The results of the survey are shown in the following 2 × 2 contingency table.

Which statement is true?
A. A resident is slightly less likely than a business owner to favor the new transportation system.
B. A resident is slightly more likely than a business owner to favor the new transportation system.
C. A resident is much more likely than a business owner to favor the new transportation system.
D. A resident is much less likely than a business owner to favor the new transportation system.
Question 4
Standard error decreases when:
A. SD increases
B. Sample size increases
C. Sample size decreases
D. Mean increases
Question 5
68-95-99.7 rule: % within 1 SD?
A. 95%
B. 99%
C. 50%
D. 68%
Solutions:
Question 1 Answer: A | Question 2 Answer: C | Question 3 Answer: C | Question 4 Answer: B | Question 5 Answer: D |