Applied-Probability-and-Statistics Valid Exam Vce, Certification Applied-Probability-and-Statistics Exam Infor

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

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

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                                    WGU Applied Probability and Statistics (FZO1 C955) Sample Questions (Q73-Q78):

                                    NEW QUESTION # 73
                                    Determine z in the equation:
                                    1/(6z) = 2/9

                                    Answer: C

                                    Explanation:
                                    The equation 1/(6z) = 2/9 is a proportion because it sets two fractions equal to each other. To solve it, use cross multiplication. Multiply the numerator of the first fraction by the denominator of the second fraction, and multiply the denominator of the first fraction by the numerator of the second fraction: 1 × 9 = 2 × 6z. This gives 9 = 12z. To isolate z, divide both sides by 12: z = 9/12. This fraction can also be simplified to 3/4, but the answer choices list the unsimplified equivalent form 9/12. The other options do not satisfy the original equation. For example, if z = 2/54, then 6z is very small and the left side becomes much larger than 2/9. If z =
                                    12/9 or 18/2, the denominator becomes too large, making the left side too small. References/topics from the Study Guide: proportions, solving equations, cross multiplication, equivalent fractions.


                                    NEW QUESTION # 74
                                    Dataset: 5, 7, 7, 10. Standard deviation?

                                    Answer: B

                                    Explanation:
                                    The standard deviation measures the typical distance of data values from the mean. For the dataset 5, 7, 7, 10, the mean is (5 + 7 + 7 + 10) ÷ 4 = 29 ÷ 4 = 7.25. The deviations from the mean are #2.25, #0.25, #0.25, and
                                    2.75. Squaring these deviations gives 5.0625, 0.0625, 0.0625, and 7.5625. The sum of squared deviations is
                                    12.75. If treated as a sample, the variance is 12.75 ÷ 3 = 4.25, and the sample standard deviation is #4.25 #
                                    2.06. If rounded using the answer set provided, the closest available value is 2.16. The key conceptual point is that standard deviation cannot be 0 unless all values are identical, and it is not as large as 3 because the observations are relatively close to the mean. Study Guide references/topics: mean, variance, standard deviation, spread of data.


                                    NEW QUESTION # 75
                                    Probability it does NOT rain = 1 # 0.25 = ?

                                    Answer: A


                                    NEW QUESTION # 76
                                    A city council surveys residents and business owners about a proposed new public transportation system. The results of the survey are shown in the following 2 × 2 contingency table.

                                    Which statement is true?

                                    Answer: A

                                    Explanation:
                                    This question requires comparing conditional percentages from a two-way table. For residents, 150 out of 200 are in favor of the proposed transportation system. The resident support rate is therefore 150/200 = 0.75, or
                                    75%. For business owners, 30 out of 100 are in favor. The business owner support rate is 30/100 = 0.30, or
                                    30%. The difference is 75% # 30% = 45 percentage points, which is a large gap. Therefore, a resident is much more likely than a business owner to favor the new transportation system. Option A understates the magnitude of the difference by calling it slight. Options B and C reverse the direction of the comparison because residents have the higher support rate, not the lower one. The appropriate statistical tool here is conditional percentage because support is being compared within each respondent group. References/topics from the Study Guide: contingency tables, conditional percentages, two-variable categorical data, comparative proportions.


                                    NEW QUESTION # 77
                                    The pie chart shows the contribution of different renewable energy sources to the total energy production.

                                    What is true about the given data?

                                    Answer: D

                                    Explanation:
                                    A pie chart displays how a whole is divided into categorical parts, usually as percentages totaling 100%. The chart shows solar at 35%, hydropower at 30%, wind at 20%, geothermal at 10%, and biomass at 5%. The largest percentage is solar, so solar power contributes the most to total energy production. Option A is false because hydropower plus biomass equals 30% + 5% = 35%, which is equal to solar, not more than solar.
                                    Option B is false because geothermal is 10%, while biomass is only 5%; therefore, biomass contributes the least. Option C is false because biomass plus geothermal equals 5% + 10% = 15%, which is less than wind at
                                    20%. The correct interpretation requires comparing category percentages accurately rather than relying on visual size alone. References/topics from the Study Guide: pie charts, categorical data, percentages, interpreting graphical displays.


                                    NEW QUESTION # 78
                                    ......

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