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

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

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

                                    1. Mean = 50, SD = 5, n = 25. Standard error = ?

                                    A) 25
                                    B) 0.2
                                    C) 1
                                    D) 5


                                    2. Type II error occurs when:

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


                                    3. What is true about the correlation between the variables?

                                    A) There is a strong negative correlation between the variables x and y.
                                    B) There is a strong positive correlation between the variables x and y.
                                    C) There is a weak negative correlation between the variables x and y.
                                    D) There is a weak positive correlation between the variables x and y.


                                    4. A sample of 100 houses was surveyed in each of two states: Georgia and Kansas. Square footages of the houses are summarized by state in the following side-by-side box plots.

                                    What is the interquartile range for house sizes in Georgia?

                                    A) 2000 sq ft
                                    B) 1500 sq ft
                                    C) 4500 sq ft
                                    D) 3000 sq ft


                                    5. Central limit theorem states:

                                    A) Population must be normal
                                    B) SE = 0
                                    C) Sample mean ~ normal for large n
                                    D) Sample variance = population variance


                                    Solutions:

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

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