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

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

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                                    WGU Applied Probability and Statistics (FZO1 C955) Sample Questions (Q86-Q91):

                                    NEW QUESTION # 86
                                    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?

                                    Answer: B

                                    Explanation:
                                    The mean is the arithmetic average of a data set. To find it, add all values and divide by the number of values.
                                    The cord lengths are 3, 3, 4, 6, 6, 6, 6, 7, 10, 10, 11, and 12. Their sum is 84. Since there are 12 charging cords, divide 84 by 12 to obtain 7. Therefore, the mean cord length is 7 inches. This value represents the balance point of the distribution, not necessarily a value that must occur most often. In this data set, 6 appears most frequently, so 6 is the mode, but the question asks for the mean. Option B, 8, and option C, 9, are too large because several values are below 7. Option D, 6, identifies the most common value rather than the average. References/topics from the Study Guide: mean, measures of center, quantitative data, arithmetic average.


                                    NEW QUESTION # 87
                                    Variance of Poisson # = 5 = ?

                                    Answer: A

                                    Explanation:
                                    A defining property of the Poisson distribution is that its variance equals its mean, and both are equal to #.
                                    Since the question states # = 5, the variance is also 5. This property distinguishes the Poisson distribution from many other probability distributions. The mean represents the expected number of events per interval, while the variance describes the spread of the event count around that mean. In a Poisson model with # = 5, event counts tend to vary around 5, and the numerical variance is 5. Option B, 4, option C, 0, and option D, 1, do not follow from the Poisson variance rule. The result is not obtained by squaring # or taking its square root; it is simply equal to #. Study Guide references/topics: Poisson distribution, variance, mean, # parameter.


                                    NEW QUESTION # 88
                                    Histogram vs bar chart:

                                    Answer: D

                                    Explanation:
                                    A histogram and a bar chart both use bars, but they display different types of data. A histogram is used for quantitative numerical data grouped into intervals, such as ages, weights, test scores, or commute times. The bars represent continuous or ordered numeric ranges, and the bars usually touch to show that the scale is continuous. A bar chart is used for categorical data, such as favorite sport, political party, product type, or survey response category. The bars are separated because the categories are distinct labels rather than continuous intervals. Option B reverses the correct uses. Option C is incorrect because the graphs are not the same even though both contain bars. Option D is invalid because option A states the standard distinction.
                                    Correct graph selection depends on identifying whether the variable is categorical or quantitative. Study Guide references/topics: histograms, bar charts, categorical data, quantitative data displays.


                                    NEW QUESTION # 89
                                    Histogram vs bar chart:

                                    Answer: D


                                    NEW QUESTION # 90
                                    Conditional probability formula:

                                    Answer: A

                                    Explanation:
                                    Conditional probability measures the probability that event A occurs given that event B has already occurred.
                                    The formula is P(A|B) = P(A and B)/P(B), assuming P(B) is greater than zero. The denominator P(B) restricts the sample space to cases where B occurs, and the numerator P(A and B) counts cases where both A and B occur within that restricted space. Option B is incorrect because it divides P(A) by P(B) without requiring overlap between A and B. Option C reverses the conditioning and would relate to P(B|A) only if the numerator were P(A and B). Option D applies to independent events when finding P(A and B), not to conditional probability in general. The vertical bar in P(A|B) is read as "given," and it signals that the denominator should be the probability of the given event. Study Guide references/topics: conditional probability, joint probability, event intersection, probability rules.


                                    NEW QUESTION # 91
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