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Updated: Aug 09, 2026

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WGU Applied-Probability-and-Statistics Exam Overview:

Certification Vendor:Western Governors University (WGU)
Exam Name:Applied Probability and Statistics
Exam Number:C955 (FZO1 Applied Probability and Statistics)
Exam Price:Included in WGU tuition (USD)
Certificate Validity Period:No expiration (course completion requirement only)
Passing Score:Competency-based (Proficient / Competent required)
Related Certifications:WGU Bachelor of Science programs (various majors)
Exam Duration:120 minutes
Exam Format:Objective Assessment (proctored), Multiple-choice questions, Problem-solving / quantitative questions
Available Languages:English
Sample Questions:WGU Applied-Probability-and-Statistics Sample Questions
Exam Way:Online proctored Objective Assessment (OA) delivered through WGU assessment platform
Pre Condition:No formal prerequisite exam required; recommended foundational algebra skills.
Official Syllabus URL:https://www.wgu.edu/

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

SectionObjectives
Topic 1: 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)
        Topic 2: Regression and Correlation- Relationship analysis
        • 1. Simple linear regression basics
          • 2. Correlation coefficient interpretation
            Topic 3: Probability- Fundamental probability concepts
            • 1. Events and sample spaces
              • 2. Conditional probability and independence
                - Probability rules
                • 1. Bayes’ theorem (introductory level)
                  • 2. Addition and multiplication rules
                    Topic 4: Probability Distributions- Continuous distributions
                    • 1. Normal distribution
                      • 2. Standard normal and z-scores
                        - Discrete distributions
                        • 1. Binomial distribution
                          • 2. Poisson distribution (introductory use cases)
                            Topic 5: Descriptive Statistics- Data summarization
                            • 1. Measures of variability (range, variance, standard deviation)
                              • 2. Measures of central tendency (mean, median, mode)
                                - Data visualization
                                • 1. Box plots and interpretation
                                  • 2. Histograms and frequency distributions

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

                                    1. 68-95-99.7 rule: % within 1 SD?

                                    A) 95%
                                    B) 99%
                                    C) 50%
                                    D) 68%


                                    2. In a standard normal distribution, z-score for the mean = ?

                                    A) 1
                                    B) 0
                                    C) Cannot determine
                                    D) #1


                                    3. Conditional probability P(A|B) = P(A and B)/P(B) #

                                    A) False
                                    B) True only if P(B) = 0
                                    C) True only if A and B are mutually exclusive
                                    D) True


                                    4. What is the product of 0.6 and 0.25?

                                    A) .22
                                    B) .20
                                    C) .15
                                    D) .18


                                    5. 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) .40
                                    C) .67
                                    D) .44


                                    Solutions:

                                    Question # 1
                                    Answer: D
                                    Question # 2
                                    Answer: B
                                    Question # 3
                                    Answer: D
                                    Question # 4
                                    Answer: C
                                    Question # 5
                                    Answer: C

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