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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 - Normal distribution and empirical rule - Discrete and continuous probability distributions - Probability rules, independent and dependent events |
| Topic 2: Inferential Statistics & Study Design | 20% | - Confidence intervals for means/proportions - Sampling methods and bias - Hypothesis testing framework and interpretation - Observational studies vs experiments |
| Topic 3: Correlation & Regression | 20% | - Simple linear regression models - Correlation coefficient and interpretation - Predictions and limitations of regression - Interpreting slope, intercept, and R-squared |
| Topic 4: Descriptive Statistics | 25% | - Measures of center: mean, median, mode - Types of data: categorical, discrete, continuous - Measures of spread: range, IQR, variance, standard deviation - Graphical displays: histograms, boxplots, scatterplots |
| Topic 5: Basic Numeracy & Algebra | 15% | - Arithmetic operations, fractions, decimals, percentages - Exponents, roots, and basic formulas - Linear equations, inequalities, graphing functions |
WGU Applied Probability and Statistics (FZO1 C955) Sample Questions:
1. Rare event count per interval modeled by:
A) Poisson
B) Binomial
C) Normal
D) Uniform
2. Expected value of binomial X ~ B(10, 0.3) = ?
A) 10
B) 3
C) 0.3
D) 7
3. In a normal distribution, 95% of data lies within:
A) ±3 SD
B) ±1 SD
C) ±4 SD
D) ±2 SD
4. A teacher plots the test scores of a class using the box plot.
What is the interquartile range?
A) 22 points
B) 8 points
C) 18 points
D) 10 points
5. A tech company surveys its employees to assess remote work preferences. The survey reveals that 55% of employees prefer working remotely, while the remaining employees prefer working in the office. Of the employees who prefer remote work, 75% report high productivity. Among those who prefer working in the office, only 50% report high productivity.
Which percentage of employees prefer working in the office and report high productivity?
A) 50%
B) 45%
C) 22.5%
D) 27.5%
Solutions:
| Question # 1 Answer: A | Question # 2 Answer: B | Question # 3 Answer: D | Question # 4 Answer: C | Question # 5 Answer: C |
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