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

SectionObjectives
Probability Theory- Probability Distributions
  • 1. Normal distribution
    • 2. Binomial distribution basics
      - Fundamental Probability Concepts
      • 1. Basic probability rules
        • 2. Independent vs dependent events
          • 3. Conditional probability
            Descriptive Statistics- Single Variable Data Analysis
            • 1. Measures of dispersion (variance, standard deviation, range)
              • 2. Measures of central tendency (mean, median, mode)
                • 3. Data visualization (histograms, box plots)
                  - Two Variable Data Analysis
                  • 1. Scatter plots interpretation
                    • 2. Outliers and relationships
                      • 3. Correlation
                        Regression and Modeling- Linear Relationships
                        • 1. Slope and intercept interpretation
                          • 2. Simple linear regression
                            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:

                                    Question 1

                                    The dot plot illustrates the frequency of outdoor games played by students per week.

                                    Which statement is true?

                                    A. The mean is almost the same as the median.
                                    B. The mean and median cannot be compared.
                                    C. The mean is significantly bigger than the median.
                                    D. The mean is significantly smaller than the median.


                                    Question 2

                                    Poisson used for:

                                    A. Categorical data
                                    B. Rare events per interval
                                    C. Continuous data
                                    D. Success/failure trials


                                    Question 3

                                    Given a normal distribution with a mean of 40 and a standard deviation of 6, what is the range that contains approximately 95% of the data?

                                    A. The range is from 34 to 46.
                                    B. The range is from 22 to 58.
                                    C. The range is from 28 to 52.
                                    D. The range is from 30 to 50.


                                    Question 4

                                    Z-score formula = ?

                                    A. (x # # )/ #
                                    B. (x + # )/ #
                                    C. # / #
                                    D. x/ #


                                    Question 5

                                    There are 12 cell phone charging cords available at a store for purchase. The length of each charging cord in inches is reflected as 3, 3, 4, 6, 6, 6, 6, 7, 10, 10, 11, and 12, respectively.
                                    What are the mean of these data?

                                    A. 6
                                    B. 8
                                    C. 9
                                    D. 7


                                    Solutions:

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

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