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

SectionObjectives
Topic 1: Descriptive Statistics- Data visualization
  • 1. Histograms and frequency distributions
    • 2. Box plots and interpretation
      - Data summarization
      • 1. Measures of variability (range, variance, standard deviation)
        • 2. Measures of central tendency (mean, median, mode)
          Topic 2: 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
                  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. t-tests and z-tests (basic application)
                          • 2. Null and alternative hypotheses
                            Topic 5: Probability Distributions- Discrete distributions
                            • 1. Binomial distribution
                              • 2. Poisson distribution (introductory use cases)
                                - Continuous distributions
                                • 1. Normal distribution
                                  • 2. Standard normal and z-scores

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                                    WGU Applied Probability and Statistics (FZO1 C955) Sample Questions (Q72-Q77):

                                    NEW QUESTION # 72
                                    A standard deck of 52 playing cards, 13 with hearts, 13 with diamonds, 13 with clovers, and 13 with spades, is shuffled, and one card is drawn at random.
                                    What is the probability of drawing a heart?

                                    Answer: C

                                    Explanation:
                                    The probability of a simple event is calculated by dividing the number of favorable outcomes by the total number of equally likely outcomes. A standard deck contains 52 cards. The favorable outcomes are the hearts, and the question states that there are 13 hearts in the deck. Therefore, the probability of drawing a heart is 13
                                    /52. This fraction simplifies by dividing both numerator and denominator by 13, giving 1/4. Option A, 1/13, would incorrectly treat one card as favorable out of 13 rather than 13 favorable hearts out of 52 total cards.
                                    Option B, 1/2, would imply that half the deck consists of hearts, which is false. Option D, 1/3, does not correspond to the four equally sized suits in a standard deck. Since the four suits are equally represented, each suit has probability one out of four. References/topics from the Study Guide: theoretical probability, equally likely outcomes, fractions, sample spaces.


                                    NEW QUESTION # 73
                                    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?

                                    Answer: D


                                    NEW QUESTION # 74
                                    Probability it does NOT rain = 1 # 0.25 = ?

                                    Answer: B


                                    NEW QUESTION # 75
                                    Sample correlation r = 0.6. R² = ?

                                    Answer: B

                                    Explanation:
                                    The coefficient of determination, R², is obtained by squaring the correlation coefficient r in simple linear regression. Here, r = 0.6, so R² = (0.6)² = 0.36. This means that 36% of the variability in the response variable is explained by the linear relationship with the explanatory variable. The remaining 64% of variability is not explained by that linear model and may be due to other variables, random variation, measurement error, or nonlinear structure. Option B gives the correlation itself, not its square. Option C would come from squaring
                                    0.4, not 0.6. Option D would imply a perfect explanatory relationship, which would require |r| = 1. The value of R² is always between 0 and 1 and is commonly interpreted as a proportion of explained variation. Study Guide references/topics: correlation, coefficient of determination, regression, explained variation.


                                    NEW QUESTION # 76
                                    Boxplot shows:

                                    Answer: B

                                    Explanation:
                                    A boxplot displays the distribution of a quantitative variable using the five-number summary and potential outliers. The main features are the median, first quartile, third quartile, lower whisker, upper whisker, and any marked outliers. The box extends from Q1 to Q3 and represents the interquartile range, which contains the middle 50% of the data. The line inside the box marks the median. Whiskers show the spread of non-outlier values, depending on the graphing convention. Option B is incorrect because a boxplot does not show only the mean; many boxplots do not display the mean at all. Option C is incorrect because variance is a numerical measure of spread, not a standard direct feature of a boxplot. Option D is incorrect because a boxplot is not a probability model. It is a descriptive display for summarizing center, spread, and unusual observations. Study Guide references/topics: boxplots, median, quartiles, interquartile range, outliers.


                                    NEW QUESTION # 77
                                    ......

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