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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 - Discrete and continuous probability distributions - Normal distribution and empirical rule - Probability rules, independent and dependent events |
| Topic 2: Inferential Statistics & Study Design | 20% | - Hypothesis testing framework and interpretation - Observational studies vs experiments - Confidence intervals for means/proportions - Sampling methods and bias |
| Topic 3: Correlation & Regression | 20% | - Predictions and limitations of regression - Interpreting slope, intercept, and R-squared - Correlation coefficient and interpretation - Simple linear regression models |
| Topic 4: Basic Numeracy & Algebra | 15% | - Linear equations, inequalities, graphing functions - Exponents, roots, and basic formulas - Arithmetic operations, fractions, decimals, percentages |
| Topic 5: Descriptive Statistics | 25% | - Measures of spread: range, IQR, variance, standard deviation - Graphical displays: histograms, boxplots, scatterplots - Types of data: categorical, discrete, continuous - Measures of center: mean, median, mode |
WGU Applied Probability and Statistics (FZO1 C955) Sample Questions:
1. A fitness center owner notices that gym attendance increases as the number of daylight hours increases. The owner calculates a correlation coefficient between daylight hours and gym attendance of r = 0.72.
Based on this information, what can be concluded?
A) There is a positive, causal relationship between daylight hours and gym attendance.
B) There is a negative, causal relationship between daylight hours and gym attendance.
C) There is a positive association between daylight hours and gym attendance.
D) There is a negative association between daylight hours and gym attendance.
2. Probability of rolling sum = 12 = ?
A) 1/36
B) 1/12
C) 2/36
D) 1/6
3. Standard deviation measures:
A) Central tendency
B) Spread of data
C) Probability
D) Frequency
4. A child's parents want to analyze the relationship between the daily high temperature and ice cream sales at their child's ice cream stand. They create the following scatterplot.
What is the estimated value of r, the correlation coefficient, between these variables?
A) 0.39
B) 0.93
C) #0.93
D) #0.39
5. Histogram vs bar chart:
A) None
B) Same
C) Bar for numeric, histogram for categories
D) Histogram for numeric intervals, bar for categories
Solutions:
| Question # 1 Answer: C | Question # 2 Answer: A | Question # 3 Answer: B | Question # 4 Answer: B | Question # 5 Answer: D |




