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WGU Applied-Probability-and-Statistics Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Probability Concepts | 20% | - Conditional probability and Venn diagrams - Probability rules, independent and dependent events - Normal distribution and empirical rule - Discrete and continuous probability distributions |
| Topic 2: Basic Numeracy & Algebra | 15% | - Arithmetic operations, fractions, decimals, percentages - Linear equations, inequalities, graphing functions - Exponents, roots, and basic formulas |
| Topic 3: Inferential Statistics & Study Design | 20% | - Confidence intervals for means/proportions - Observational studies vs experiments - Hypothesis testing framework and interpretation - Sampling methods and bias |
| Topic 4: Correlation & Regression | 20% | - Correlation coefficient and interpretation - Predictions and limitations of regression - Interpreting slope, intercept, and R-squared - Simple linear regression models |
| Topic 5: Descriptive Statistics | 25% | - Types of data: categorical, discrete, continuous - Measures of spread: range, IQR, variance, standard deviation - Graphical displays: histograms, boxplots, scatterplots - Measures of center: mean, median, mode |
WGU Applied Probability and Statistics (FZO1 C955) Sample Questions:
1. Correlation r = 0.8 # strong positive relationship #
A) False
B) True only for categorical variables
C) True
D) True only when r is negative
2. A researcher has collected information on students from a school. The researcher wants to display the ethnic groups represented in the school.
Which pair of graphs both display data in this manner?
A) Bar graph and histogram
B) Line graph and bar graph
C) Bar graph and pie chart
D) Pie chart and box plot
3. A 10-sided die is rolled in a role-playing game.
What is the probability of rolling a number that is a multiple of 2 or greater than 7?
A) 3/5
B) 1/2
C) 4/5
D) 7/10
4. Z-score formula = ?
A) # / #
B) (x # # )/ #
C) (x + # )/ #
D) x/ #
5. Correlation coefficient r = #0.5 #
A) Weak positive
B) Strong positive
C) No relationship
D) Moderate negative linear relationship
Solutions:
| Question # 1 Answer: C | Question # 2 Answer: C | Question # 3 Answer: D | Question # 4 Answer: B | Question # 5 Answer: D |




