Applied-Probability-and-Statistics対応受験、Applied-Probability-and-Statistics試験対策

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

SectionObjectives
Topic 1: Probability Distributions- Continuous distributions
  • 1. Normal distribution
    • 2. Standard normal and z-scores
      - Discrete distributions
      • 1. Binomial distribution
        • 2. Poisson distribution (introductory use cases)
          Topic 2: Descriptive Statistics- Data visualization
          • 1. Box plots and interpretation
            • 2. Histograms and frequency distributions
              - Data summarization
              • 1. Measures of central tendency (mean, median, mode)
                • 2. Measures of variability (range, variance, standard deviation)
                  Topic 3: Regression and Correlation- Relationship analysis
                  • 1. Correlation coefficient interpretation
                    • 2. Simple linear regression basics
                      Topic 4: Statistical Inference- Estimation
                      • 1. Confidence intervals for means and proportions
                        - Hypothesis testing
                        • 1. Null and alternative hypotheses
                          • 2. t-tests and z-tests (basic application)
                            Topic 5: Probability- Fundamental probability concepts
                            • 1. Events and sample spaces
                              • 2. Conditional probability and independence
                                - Probability rules
                                • 1. Addition and multiplication rules
                                  • 2. Bayes’ theorem (introductory level)

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                                    Applied-Probability-and-Statistics試験対策、Applied-Probability-and-Statistics日本語版対応参考書

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                                    WGU Applied Probability and Statistics (FZO1 C955) 認定 Applied-Probability-and-Statistics 試験問題 (Q33-Q38):

                                    質問 # 33
                                    The average lifespan of a dalmatian is 11.5 years, with a standard deviation of 1.5 years.
                                    What are the two values between which 95% of the data falls for the average lifespan of a dalmatian, assuming a normal distribution?

                                    正解：C

                                    解説：
                                    For a normal distribution, the empirical rule states that approximately 95% of observations lie within two standard deviations of the mean. The mean lifespan is 11.5 years, and the standard deviation is 1.5 years. Two standard deviations equal 2 × 1.5 = 3.0 years. Therefore, the interval containing approximately 95% of the data is found by subtracting and adding 3.0 years to the mean: 11.5 # 3.0 = 8.5 and 11.5 + 3.0 = 14.5. The resulting interval is 8.5 years to 14.5 years. Option C, 10.0 to 13.0, represents one standard deviation from the mean and would correspond to about 68% of the data. Options A and D are not centered correctly at the proper two-standard-deviation distance. The correct interval must be symmetric around the mean and use two standard deviations. References/topics from the Study Guide: normal distributions, empirical rule, standard deviation, measures of spread.


                                    質問 # 34
                                    Probability of exactly 1 head in 2 coin flips = ?

                                    正解：C

                                    解説：
                                    Two coin flips produce four equally likely ordered outcomes: HH, HT, TH, and TT. Exactly one head occurs in two of these outcomes: HT and TH. Therefore, the probability is 2 favorable outcomes out of 4 total outcomes, or 2/4 = 1/2. This can also be computed using the binomial model. There are n = 2 independent trials, success probability p = 1/2, and exactly one success is required. The binomial calculation is C(2,1)(1/2)