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

SectionObjectives
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. Correlation
          • 2. Scatter plots interpretation
            • 3. Outliers and relationships
              Topic 2: Probability Theory- Probability Distributions
              • 1. Binomial distribution basics
                • 2. Normal distribution
                  - Fundamental Probability Concepts
                  • 1. Independent vs dependent events
                    • 2. Conditional probability
                      • 3. Basic probability rules
                        Topic 3: Statistical Inference- Hypothesis Testing (Introductory Level)
                        • 1. p-values interpretation
                          • 2. Null vs alternative hypothesis
                            - Estimation and Confidence Intervals
                            • 1. Confidence interval interpretation
                              • 2. Point estimates
                                Topic 4: Regression and Modeling- Linear Relationships
                                • 1. Simple linear regression
                                  • 2. Slope and intercept interpretation

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

                                    Question 1

                                    Probability of heads on 3 coin flips exactly twice?

                                    A. 1/8
                                    B. 1/4
                                    C. 1/2
                                    D. 3/8


                                    Question 2

                                    A sociologist is investigating the relationship between educational level, high school, bachelor's, master's, and doctorate, and annual income.
                                    How should this study be classified?

                                    A. Quantitative#quantitative
                                    B. Categorical#categorical
                                    C. Quantitative#categorical
                                    D. Categorical#quantitative


                                    Question 3

                                    A school surveyed student participation in extracurricular activities. The survey found:
                                    * The drama club had 50% of students participate.
                                    * The science club had 30% of students participate.
                                    * Both clubs had 15% of students participate.
                                    What is the probability that a student participated in the drama club, given that they attended the science club?

                                    A. .5
                                    B. .40
                                    C. .15
                                    D. .3


                                    Question 4

                                    Type II error occurs when:

                                    A. Null rejected when true
                                    B. Data error
                                    C. Correct decision
                                    D. Null accepted when false


                                    Question 5

                                    Review the following inequality:
                                    y # #4x + 1
                                    Which shaded region is described by this inequality?



                                    A. Graph B
                                    B. Graph A
                                    C. Graph D
                                    D. Graph C


                                    Solutions:

                                    Question 1
                                    Answer: D
                                    Question 2
                                    Answer: D
                                    Question 3
                                    Answer: A
                                    Question 4
                                    Answer: D
                                    Question 5
                                    Answer: C

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