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

SectionObjectives
Topic 1: Descriptive Statistics- Single Variable Data Analysis
  • 1. Measures of central tendency (mean, median, mode)
    • 2. Data visualization (histograms, box plots)
      • 3. Measures of dispersion (variance, standard deviation, range)
        - Two Variable Data Analysis
        • 1. Correlation
          • 2. Outliers and relationships
            • 3. Scatter plots interpretation
              Topic 2: Probability Theory- Fundamental Probability Concepts
              • 1. Conditional probability
                • 2. Independent vs dependent events
                  • 3. Basic probability rules
                    - Probability Distributions
                    • 1. Normal distribution
                      • 2. Binomial distribution basics
                        Topic 3: Regression and Modeling- Linear Relationships
                        • 1. Simple linear regression
                          • 2. Slope and intercept interpretation
                            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 (Q63-Q68):

                                    NEW QUESTION # 63
                                    Boxplot shows:

                                    Answer: B

                                    Explanation:
                                    A boxplot displays the distribution of a quantitative variable using the five-number summary and potential outliers. The main features are the median, first quartile, third quartile, lower whisker, upper whisker, and any marked outliers. The box extends from Q1 to Q3 and represents the interquartile range, which contains the middle 50% of the data. The line inside the box marks the median. Whiskers show the spread of non-outlier values, depending on the graphing convention. Option B is incorrect because a boxplot does not show only the mean; many boxplots do not display the mean at all. Option C is incorrect because variance is a numerical measure of spread, not a standard direct feature of a boxplot. Option D is incorrect because a boxplot is not a probability model. It is a descriptive display for summarizing center, spread, and unusual observations. Study Guide references/topics: boxplots, median, quartiles, interquartile range, outliers.


                                    NEW QUESTION # 64
                                    Probability of rolling an even number on a six-sided die?

                                    Answer: D

                                    Explanation:
                                    A standard six-sided die has six equally likely outcomes: 1, 2, 3, 4, 5, and 6. The even outcomes are 2, 4, and
                                    6. That gives 3 favorable outcomes out of 6 total outcomes. Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2. Option A, 1/3, would correspond to 2 favorable outcomes out of 6, which is not correct here. Option C, 1/6, is the probability of rolling one specific number, such as only a 2.
                                    Option D, 2/3, would require 4 favorable outcomes out of 6. Since exactly half of the die faces are even and half are odd, the probability of rolling an even number is one-half. Study Guide references/topics: theoretical probability, equally likely outcomes, sample space, favorable outcomes.


                                    NEW QUESTION # 65
                                    A t-distribution is used when:

                                    Answer: D

                                    Explanation:
                                    A t-distribution is used for inference about a population mean when the population standard deviation # is unknown, especially with a small sample. In that situation, the sample standard deviation s must estimate #, creating extra uncertainty. The t-distribution accounts for this added uncertainty with heavier tails than the standard normal distribution. As sample size increases, the t-distribution becomes closer to the normal distribution. Option B describes a z-procedure setting, where # is known and the normal distribution may be used. Option C is incorrect because categorical data are usually analyzed with proportions or chi-square procedures, not t-distributions for means. Option D is incomplete: t-procedures typically require quantitative continuous or approximately continuous data, but the decisive condition in the answer set is unknown # with a small sample. Study Guide references/topics: t-distribution, unknown standard deviation, small samples, inference for means.


                                    NEW QUESTION # 66
                                    A class of 25 students includes 10 who play soccer, 8 who play basketball, and 7 who play neither sport.
                                    What is the probability of randomly selecting a student who does not play soccer?

                                    Answer: A

                                    Explanation:
                                    The probability of selecting a student who does not play soccer is found by identifying the complement of the soccer group. There are 25 students in the class, and 10 students play soccer. Therefore, the number of students who do not play soccer is 25 # 10 = 15. The probability is then the number of favorable outcomes divided by the total number of possible outcomes: 15/25 = 0.60. The information about basketball and neither sport provides context, but the direct complement method is sufficient because the question asks only who does not play soccer. Option B, .40, represents the probability of selecting a student who does play soccer, since 10/25 = .40. Option A, .30, is associated with neither sport if interpreted approximately from 7/25, but it is not the requested event. Option C, .50, does not match the count structure. References/topics from the Study Guide: probability, complements, favorable outcomes, relative frequency.


                                    NEW QUESTION # 67
                                    A spinner is divided into four equal sections labeled A, B, C, and D.
                                    What is the sample space for this experiment?

                                    Answer: B

                                    Explanation:
                                    The sample space of a probability experiment is the complete set of all possible outcomes. In this experiment, the spinner has four equal sections labeled A, B, C, and D. Since one spin can land on exactly one of those four labeled sections, the possible outcomes are A, B, C, and D. Therefore, the sample space is {A, B, C, D}.
                                    Option A incorrectly adds E, which is not listed as a section on the spinner. Option B groups labels into combined outcomes, but the experiment is a single spin, not a two-part or paired event. Option C uses numerical labels, but the spinner sections are identified by letters, not numbers. Equal section size affects the probability of each outcome, making each outcome have probability 1/4, but it does not change the sample space itself. References/topics from the Study Guide: probability experiments, outcomes, sample space, equally likely events.


                                    NEW QUESTION # 68
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