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WGU Applied-Probability-and-Statistics Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Descriptive Statistics | 25% | - Types of data: categorical, discrete, continuous - Graphical displays: histograms, boxplots, scatterplots - Measures of spread: range, IQR, variance, standard deviation - Measures of center: mean, median, mode |
| Topic 2: Inferential Statistics & Study Design | 20% | - Observational studies vs experiments - Hypothesis testing framework and interpretation - Confidence intervals for means/proportions - Sampling methods and bias |
| Topic 3: Probability Concepts | 20% | - Normal distribution and empirical rule - Probability rules, independent and dependent events - Conditional probability and Venn diagrams - Discrete and continuous probability distributions |
| Topic 4: Basic Numeracy & Algebra | 15% | - Arithmetic operations, fractions, decimals, percentages - Linear equations, inequalities, graphing functions - Exponents, roots, and basic formulas |
| Topic 5: Correlation & Regression | 20% | - Correlation coefficient and interpretation - Predictions and limitations of regression - Interpreting slope, intercept, and R-squared - Simple linear regression models |
WGU Applied Probability and Statistics (FZO1 C955) Sample Questions:
1. A home inspector finds 3% of the homes in a community infected with termites.
How should the home inspector's findings be interpreted?
A) It is as likely as unlikely that a home in the community is infected with termites.
B) It is likely that a home in the community is infected with termites.
C) It is unlikely that a home in the community is infected with termites.
D) It is impossible that a home in the community is infected with termites.
2. Sample mean = 40, SD = 8, n = 16. Standard error = ?
A) 4
B) 0.5
C) 8
D) 2
3. Regression slope indicates:
A) R²
B) Intercept
C) Change in Y per unit X
D) Correlation
4. A teacher compares the test scores of two classes using a box plot.
What is true about the median test scores?
A) The median test scores of Class A are 18 points less than those of Class B.
B) The median test scores of Class A are 10 points less than those of Class B.
C) The median test scores of Class A are 20 points less than those of Class B.
D) The median test scores of Class A are 15 points less than those of Class B.
5. Histogram vs bar chart:
A) Histogram for numeric intervals, bar for categories
B) None
C) Bar for numeric, histogram for categories
D) Same
Solutions:
| Question # 1 Answer: C | Question # 2 Answer: D | Question # 3 Answer: C | Question # 4 Answer: D | Question # 5 Answer: A |

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