Applied-Probability-and-Statistics Deutsch Prüfungsfragen, Applied-Probability-and-Statistics Online Prüfung

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

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

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                                    WGU Applied Probability and Statistics (FZO1 C955) Applied-Probability-and-Statistics Prüfungsfragen mit Lösungen (Q80-Q85):

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

                                    Which statement is true?

                                    Antwort: B

                                    Begründung:
                                    The dot plot shows a distribution centered near 3 days, with substantial frequencies at 2, 3, and 4 days and smaller frequencies at the extremes of 1 and 5 days. This shape is reasonably balanced around the center.
                                    When a distribution is approximately symmetric, the mean and median tend to be close because the lower and higher values balance each other. The median identifies the middle observation after the data are ordered, and the mean represents the balance point of the distribution. Since the tallest stack is near 3 days and the surrounding stacks on 2 and 4 days are comparable, the center of the data is approximately 3 days by both measures. There is no strong skew to pull the mean far above or below the median. Therefore, the best statement is that the mean is almost the same as the median. Options B and C would require clear skew or extreme imbalance, which the dot plot does not show. References/topics from the Study Guide: dot plots, mean, median, distribution shape, symmetry.


                                    81. Frage
                                    In a game, a coin is tossed, and a spinner with 8 equal spaces numbered 1 through 8 is spun.
                                    What is the probability of getting heads on the coin and a number less than 3 on the spinner?

                                    Antwort: B


                                    82. Frage
                                    Poisson used for:

                                    Antwort: D

                                    Begründung:
                                    The Poisson distribution is used to model counts of events occurring within a fixed interval of time, space, area, or volume, especially when the events are relatively rare and occur at a constant average rate. Examples include the number of calls received per hour, accidents per month, defects per batch, or arrivals at a service counter per minute. Its parameter # represents the average number of events per interval. Option B describes the binomial distribution, which models the number of successes in a fixed number of independent success
                                    /failure trials. Option C is incorrect because Poisson outcomes are discrete counts, not continuous measurements. Option D is also incorrect because categorical data classify observations into groups, while Poisson data count event occurrences. The phrase "rare events per interval" is the defining clue for the Poisson model. Study Guide references/topics: Poisson distribution, rare-event counts, # parameter, discrete probability models.


                                    83. Frage
                                    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?

                                    Antwort: C

                                    Begründung:
                                    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.


                                    84. Frage
                                    Sample mean = 60; point estimate of population mean = ?

                                    Antwort: B

                                    Begründung:
                                    A point estimate is a single sample statistic used to estimate an unknown population parameter. When estimating a population mean, the standard point estimate is the sample mean. In this question, the sample mean is given as 60. Therefore, the point estimate of the population mean is also 60. This does not mean the true population mean is guaranteed to equal 60; rather, 60 is the best single numerical estimate based on the available sample. Confidence intervals build on this point estimate by adding and subtracting a margin of error to reflect sampling uncertainty. Option B is incorrect because although the true population mean is unknown, the point estimate is known. Option C and option D do not correspond to the sample statistic provided. The logic is central to inferential statistics: use sample evidence to estimate population characteristics. Study Guide references/topics: sample mean, population mean, point estimation, inferential statistics.


                                    85. Frage
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