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

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

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                                    Applied Probability and Statistics (FZO1 C955) prepking test & Applied-Probability-and-Statistics torrent pdf & Applied Probability and Statistics (FZO1 C955) reliable vce

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                                    WGU Applied Probability and Statistics (FZO1 C955) Sample Questions (Q102-Q107):

                                    NEW QUESTION # 102
                                    Type I error = ?

                                    Answer: B

                                    Explanation:
                                    A Type I error occurs when a statistical test rejects the null hypothesis even though the null hypothesis is actually true. This is often described as a false positive. In practical terms, the test concludes that there is an effect, difference, or relationship when none truly exists under the null condition. The probability of committing a Type I error is denoted by #, the significance level, often set at 0.05. Option B describes a Type II error, where the test fails to reject a false null hypothesis. Option C is not an error at all. Option D is too general; Type I error is not a data-entry issue but a formal decision error in hypothesis testing. The defining phrase is "reject H# when true." Study Guide references/topics: hypothesis testing, Type I error, null hypothesis, significance level.


                                    NEW QUESTION # 103
                                    Binomial distribution parameters = ?

                                    Answer: D

                                    Explanation:
                                    A binomial distribution is defined by two parameters: n and p. The parameter n is the fixed number of trials, and p is the probability of success on each trial. The model applies when trials are independent, each trial has two possible outcomes, and p remains constant. For example, if X is the number of heads in 10 fair coin flips, then X follows a binomial distribution with n = 10 and p = 0.5. Option B, #, is the parameter of a Poisson distribution, used for counts of events over intervals. Option C, # and #, commonly describes a normal distribution, where # is the mean and # is the standard deviation. Option D is incorrect because the binomial model has a precise parameter structure. Identifying n and p is essential before calculating binomial probabilities or expected value. Study Guide references/topics: binomial distribution, independent trials, success probability, discrete probability.


                                    NEW QUESTION # 104
                                    The average commute time for workers in a city in 2021 was 35 minutes, with a standard deviation of 5 minutes.
                                    Assuming a normal distribution, which two values encompass 95% of the data?

                                    Answer: A

                                    Explanation:
                                    For a normally distributed variable, the empirical rule states that approximately 95% of observations fall within two standard deviations of the mean. The mean commute time is 35 minutes, and the standard deviation is 5 minutes. Two standard deviations equal 2 × 5 = 10 minutes. Therefore, the interval covering approximately 95% of the data is 35 # 10 to 35 + 10, which gives 25 minutes to 45 minutes. Option B, 30 to
                                    40 minutes, represents only one standard deviation from the mean and would cover approximately 68% of the data, not 95%. Option A extends three standard deviations from the mean and would correspond to roughly
                                    99.7% under the empirical rule. Option D is not centered properly around the mean and does not represent a standard normal interval. The correct interval is symmetric about the mean and uses the standard deviation as the spread measure. References/topics from the Study Guide: normal distribution, empirical rule, mean, standard deviation.


                                    NEW QUESTION # 105
                                    Probability of drawing king or queen from deck = ?

                                    Answer: A

                                    Explanation:
                                    A standard deck contains 52 cards. There are 4 kings and 4 queens, one of each rank in each suit. The event is drawing a king or a queen. Since a single card cannot be both a king and a queen, these two events are mutually exclusive. Therefore, the number of favorable outcomes is 4 + 4 = 8. The probability is favorable outcomes divided by total outcomes: 8/52. This fraction can be simplified to 2/13, but the answer choice provides the unsimplified correct form. Option B, 4/52, counts only kings or only queens, not both. Option C,
                                    1/13, is equivalent to 4/52 and again represents one rank only. Option D, 1/26, is too small and does not match the count of favorable cards. The word "or" signals that both qualifying ranks should be included. Study Guide references/topics: card probability, mutually exclusive events, addition rule, sample space.


                                    NEW QUESTION # 106
                                    A teacher plots the test scores of a class using the box plot.

                                    What is the interquartile range?

                                    Answer: A

                                    Explanation:
                                    The interquartile range, abbreviated IQR, measures the spread of the middle 50% of a data set. In a box plot, the left edge of the box represents the first quartile, Q1, and the right edge of the box represents the third quartile, Q3. The IQR is computed as Q3 # Q1. In the displayed box plot, Q1 is located at 70 points and Q3 is located at approximately 88 points. Therefore, the interquartile range is 88 # 70 = 18 points. The median, shown by the line inside the box, is about 80 points, but the median is not used in the IQR calculation. The whiskers show the approximate minimum and maximum values, but those define the full range, not the interquartile range. The correct answer is 18 points. References/topics from the Study Guide: box plots, quartiles, interquartile range, five-number summary.


                                    NEW QUESTION # 107
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