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

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

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

                                    1. A person has a .5 probability of taking a train to work, a .3 probability of carpooling, and a .2 probability of walking. The probability of being late is .2 when taking the train, .1 when carpooling, and .05 when walking.
                                    What is the probability of taking the train and being on time, or walking and being on time?

                                    A) .59
                                    B) .45
                                    C) .3
                                    D) .4


                                    2. Z-score formula = ?

                                    A) (x + # )/ #
                                    B) # / #
                                    C) x/ #
                                    D) (x # # )/ #


                                    3. A recording studio raises its use fee to $75 and charges $40 per hour for studio time. The equation of the total cost of a recording session as a function of studio time is y = 40x + 75.
                                    Which graph represents this equation?



                                    A) Graph 4
                                    B) Graph 3
                                    C) Graph 2
                                    D) Graph 1


                                    4. Probability sum for all outcomes = ?

                                    A) > 1
                                    B) < 1
                                    C) 0
                                    D) 1


                                    5. The table shows the results of a survey of favorite movie genres.

                                    What is the probability of selecting an action and then a comedy respondent if the selection is replaced?

                                    A) 12.5%
                                    B) 68%
                                    C) 10.5%
                                    D) 75%


                                    Solutions:

                                    Question # 1
                                    Answer: A
                                    Question # 2
                                    Answer: D
                                    Question # 3
                                    Answer: A
                                    Question # 4
                                    Answer: D
                                    Question # 5
                                    Answer: C

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