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WGU Applied-Probability-and-Statistics Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Inferential Statistics & Study Design | 20% | - Sampling methods and bias - Observational studies vs experiments - Confidence intervals for means/proportions - Hypothesis testing framework and interpretation |
| Descriptive Statistics | 25% | - Graphical displays: histograms, boxplots, scatterplots - Measures of center: mean, median, mode - Measures of spread: range, IQR, variance, standard deviation - Types of data: categorical, discrete, continuous |
| Probability Concepts | 20% | - Normal distribution and empirical rule - Probability rules, independent and dependent events - Discrete and continuous probability distributions - Conditional probability and Venn diagrams |
| Correlation & Regression | 20% | - Simple linear regression models - Interpreting slope, intercept, and R-squared - Predictions and limitations of regression - Correlation coefficient and interpretation |
| Basic Numeracy & Algebra | 15% | - Arithmetic operations, fractions, decimals, percentages - Linear equations, inequalities, graphing functions - Exponents, roots, and basic formulas |
WGU Applied Probability and Statistics (FZO1 C955) Sample Questions:
1. A university surveys faculty and students to determine support for a new campus recycling initiative.
The results of the survey are shown in the following 2 × 2 contingency table:
Which statement is true?
A) Faculty members are slightly more likely than students to support the recycling initiative.
B) Faculty members are slightly less likely than students to support the recycling initiative.
C) Faculty members are much less likely than students to support the recycling initiative.
D) Faculty members are much more likely than students to support the recycling initiative.
2. Central limit theorem states:
A) Population must be normal
B) Sample mean ~ normal for large n
C) Sample variance = population variance
D) SE = 0
3. Z-score formula = ?
A) x/ #
B) (x # # )/ #
C) # / #
D) (x + # )/ #
4. Regression slope indicates:
A) R²
B) Change in Y per unit X
C) Intercept
D) Correlation
5. 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 1
B) Graph 4
C) Graph 3
D) Graph 2
Solutions:
| Question # 1 Answer: D | Question # 2 Answer: B | Question # 3 Answer: B | Question # 4 Answer: B | Question # 5 Answer: B |
