Applied-Probability-and-Statistics적중율높은인증덤프공부 & Applied-Probability-and-Statistics완벽한덤프공부자료

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

SectionObjectives
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)
          Probability- Fundamental probability concepts
          • 1. Events and sample spaces
            • 2. Conditional probability and independence
              - Probability rules
              • 1. Bayes’ theorem (introductory level)
                • 2. Addition and multiplication rules
                  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
                        Probability Distributions- Continuous distributions
                        • 1. Standard normal and z-scores
                          • 2. Normal distribution
                            - Discrete distributions
                            • 1. Binomial distribution
                              • 2. Poisson distribution (introductory use cases)
                                Regression and Correlation- Relationship analysis
                                • 1. Simple linear regression basics
                                  • 2. Correlation coefficient interpretation

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                                    최신 Courses and Certificates Applied-Probability-and-Statistics 무료샘플문제 (Q11-Q16):

                                    질문 # 11
                                    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?

                                    정답：B

                                    설명：
                                    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.


                                    질문 # 12
                                    Variance formula = ?

                                    정답：A

                                    설명：
                                    The sample variance formula is s² = #(x# # x#)² / (n # 1). In this formula, x# represents each data value, x# is the sample mean, and n is the sample size. The expression x# # x# gives each value's deviation from the mean. Squaring the deviations prevents negative and positive deviations from canceling and emphasizes larger departures. Dividing by n # 1 gives the sample variance, using degrees of freedom to correct bias when estimating population variance from a sample. Option B is the formula for the sample mean, not variance.
                                    Option C squares the mean and does not measure spread. Option D resembles part of the standard deviation process but omits division by n # 1 and is not the variance formula. Variance is foundational because standard deviation is the square root of variance. Study Guide references/topics: variance, sample variance formula, mean deviations, measures of spread.


                                    질문 # 13
                                    Standard error decreases when:

                                    정답：C

                                    설명：
                                    The standard error of the mean is calculated as SE = s/#n, where s is the sample standard deviation and n is the sample size. Because n appears in the denominator under a square root, increasing the sample size decreases the standard error when the standard deviation is held constant. This reflects a central idea in sampling: larger samples tend to produce more stable and precise estimates of the population mean. Option C is incorrect because increasing the standard deviation increases the standard error, not decreases it. Option B is incomplete and does not identify what is decreasing. Option D is not the direct driver of standard error; confidence level affects the critical value and margin of error, but the standard error itself is determined by variability and sample size. The correct relationship is inverse: as sample size increases, standard error decreases. Study Guide references/topics: standard error, sample size, sampling variability, precision of estimates.


                                    질문 # 14
                                    Best chart for categorical data?

                                    정답：B

                                    설명：
                                    A bar chart is the best display for categorical data because it shows the frequency or relative frequency of each category using separate bars. Categorical variables classify observations into groups, such as favorite color, type of transportation, political affiliation, or product category. A bar chart allows the viewer to compare category counts directly by bar height. A histogram is not appropriate because it is used for quantitative data grouped into numerical intervals. A scatterplot is used to examine the relationship between two quantitative variables, such as height and weight. A boxplot summarizes a quantitative distribution using quartiles, median, spread, and outliers. Since the question asks specifically about categorical data, the display must preserve category labels rather than numerical intervals or continuous measurement. Therefore, the bar chart is the correct choice. Study Guide references/topics: categorical data, bar charts, frequency displays, descriptive statistics.


                                    질문 # 15
                                    Ten teachers each had a jar of jelly beans. The jars had this number of jelly beans in each respective jar: 50,
                                    60, 80, 80, 100, 100, 100, 120, 120, and 140.
                                    What is the mean of these data?

                                    정답：A

                                    설명：
                                    The mean is the arithmetic average of a quantitative data set. To calculate it, add all observed values and divide by the number of observations. The jelly bean counts are 50, 60, 80, 80, 100, 100, 100, 120, 120, and
                                    140. Their sum is 950. There are 10 jars, so the mean is 950 ÷ 10 = 95. This means the average number of jelly beans per jar is 95. Option A, 100, may seem plausible because 100 appears frequently and is near the center of the data, but frequency alone determines the mode, not the mean. Option C, 80, is one of the repeated values but not the average. Option B, 120, is too high because several observations fall well below
                                    120. The mean uses every value in the data set, including the low values 50 and 60 and the high value 140.
                                    References/topics from the Study Guide: mean, measures of center, quantitative data, arithmetic average.


                                    질문 # 16
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