Free PDF 2026 Applied-Probability-and-Statistics: Applied Probability and Statistics (FZO1 C955) Marvelous Test Lab Questions

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

SectionObjectives
Topic 1: Descriptive Statistics- Two Variable Data Analysis
  • 1. Scatter plots interpretation
    • 2. Correlation
      • 3. Outliers and relationships
        - 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 2: Probability Theory- Probability Distributions
              • 1. Binomial distribution basics
                • 2. Normal distribution
                  - Fundamental Probability Concepts
                  • 1. Independent vs dependent events
                    • 2. Basic probability rules
                      • 3. Conditional probability
                        Topic 3: Regression and Modeling- Linear Relationships
                        • 1. Simple linear regression
                          • 2. Slope and intercept interpretation
                            Topic 4: 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

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                                    WGU Applied-Probability-and-Statistics PDF Dumps file

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                                    WGU Applied Probability and Statistics (FZO1 C955) Sample Questions (Q11-Q16):

                                    NEW QUESTION # 11
                                    A dataset: 4, 8, 12, 16, 20. Mean = ?

                                    Answer: D

                                    Explanation:
                                    The mean is the arithmetic average of a data set. To compute it, add all values and divide by the number of observations. For the dataset 4, 8, 12, 16, and 20, the sum is 4 + 8 + 12 + 16 + 20 = 60. There are 5 values, so the mean is 60 ÷ 5 = 12. The mean represents the balance point of the data. This dataset is evenly spaced around 12: 4 and 20 are equally distant from 12, and 8 and 16 are equally distant from 12. That symmetry supports the computed result. Option A, 10, is too low because it does not account for the higher values 16 and 20. Option C, 14, is too high, and option D is one of the data values but not the average. The correct answer is 12. Study Guide references/topics: mean, arithmetic average, measures of center, quantitative data.


                                    NEW QUESTION # 12
                                    Mean = 100, SD = 15, z = 2. Value = ?

                                    Answer: B

                                    Explanation:
                                    A z-score expresses how many standard deviations a value lies above or below the mean. The formula is z = (x # #)/#. To solve for the raw value x, rearrange the formula: x = # + z#. Here, the mean # is 100, the standard deviation # is 15, and z = 2. Substitute these values: x = 100 + 2(15) = 100 + 30 = 130. Therefore, the raw value is 130. This means the value is two standard deviations above the mean. Option B, 115, would correspond to z = 1. Option C, 125, is not exactly two standard deviations above 100 when # = 15. Option D,
                                    110, is less than one standard deviation above the mean. The correct value must add two full standard deviations to the mean. Study Guide references/topics: z-scores, standardization, normal distribution, raw score conversion.


                                    NEW QUESTION # 13
                                    Correlation coefficient r = #0.9 indicates:

                                    Answer: A

                                    Explanation:
                                    The correlation coefficient r measures the direction and strength of a linear relationship between two quantitative variables. It ranges from #1 to 1. A value close to #1 indicates a strong negative linear relationship, meaning that as one variable increases, the other tends to decrease in a highly consistent linear pattern. Since r = #0.9 is very close to #1, the relationship is strong and negative. Option B is incorrect because the sign is negative, not positive. Option C identifies the direction correctly but understates the strength; #0.9 is not weak. Option D would correspond to r near 0, where there is little or no linear association. A scatterplot associated with r = #0.9 would show points clustered closely around a downward- sloping line. This does not prove causation; it describes linear association only. Study Guide references
                                    /topics: correlation coefficient, negative association, strength of relationship, scatterplots.


                                    NEW QUESTION # 14
                                    Two dice rolled. Probability sum = 7?

                                    Answer: A

                                    Explanation:
                                    When two standard six-sided dice are rolled, there are 6 × 6 = 36 equally likely ordered outcomes. To find the probability that the sum is 7, count all ordered pairs that produce 7. These are (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1). There are 6 favorable outcomes. Therefore, the probability is 6/36, which simplifies to 1/6. Since the answer choices include both 6/36 and 1/6, the listed answer from the PDF uses the unsimplified equivalent form, 6/36. Option C, 5/36, omits one valid ordered pair. Option D, 1/12, is too small because it would represent only 3 favorable outcomes out of 36. This problem reinforces that dice outcomes are ordered when two dice are rolled, so (1,6) and (6,1) are counted separately. Study Guide references/topics: sample spaces, dice probability, favorable outcomes, theoretical probability.


                                    NEW QUESTION # 15
                                    In a class of 30 students, 18 are enrolled in a math course, and 12 are enrolled in a science course. Among the students enrolled in the science course, 8 are also enrolled in the math course.
                                    What is the probability that a student is enrolled in the math course given that they are enrolled in the science course?

                                    Answer: B

                                    Explanation:
                                    The phrase "given that they are enrolled in the science course" indicates conditional probability. The reference group is not all 30 students; it is only the 12 students enrolled in science. Among those 12 science students, 8 are also enrolled in math. Therefore, the conditional probability is P(math | science) = P(math and science) ÷ P(science), or more directly, 8 ÷ 12. This simplifies to 2/3, which is approximately 0.6667, rounded to .67. Option A, .27, would come from comparing the 8 students to the entire class of 30, but that ignores the given condition. Option B, .40, corresponds to 12/30, the proportion enrolled in science. Option C, .44, is approximately 8/18, which reverses the condition and would represent the probability of science given math.
                                    The correct answer uses the science group as the denominator. References/topics from the Study Guide:
                                    conditional probability, two-way events, joint enrollment, probability ratios.


                                    NEW QUESTION # 16
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