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WGU Applied-Probability-and-Statistics Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Correlation & Regression | 20% | - Interpreting slope, intercept, and R-squared - Correlation coefficient and interpretation - Simple linear regression models - Predictions and limitations of regression |
| Topic 2: Probability Concepts | 20% | - Normal distribution and empirical rule - Probability rules, independent and dependent events - Discrete and continuous probability distributions - Conditional probability and Venn diagrams |
| Topic 3: 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 4: Basic Numeracy & Algebra | 15% | - Exponents, roots, and basic formulas - Arithmetic operations, fractions, decimals, percentages - Linear equations, inequalities, graphing functions |
| Topic 5: Inferential Statistics & Study Design | 20% | - Confidence intervals for means/proportions - Hypothesis testing framework and interpretation - Observational studies vs experiments - Sampling methods and bias |
WGU Applied Probability and Statistics (FZO1 C955) Sample Questions:
1. 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 3
B) Graph 2
C) Graph 1
D) Graph 4
2. Probability of rolling 1, 2, or 3 on die = ?
A) 1/3
B) 2/3
C) 1/2
D) 1/6
3. A commuter has a .4 probability of taking the bus to work, a .4 probability of driving a car, and a .2 probability of cycling. The probability of being late is .15 when taking the bus, .05 when driving a car, and .1 when cycling.
What is the probability of taking the bus and being on time, or driving a car and being on time?
A) .34
B) .76
C) .32
D) .72
4. Review the following inequality:
y # #4x + 1
Which shaded region is described by this inequality?



A) Graph B
B) Graph A
C) Graph D
D) Graph C
5. Empirical probability is based on:
A) Subjective guess
B) Observed frequency of events
C) Theoretical models
D) Classical calculation
Solutions:
| Question # 1 Answer: D | Question # 2 Answer: C | Question # 3 Answer: D | Question # 4 Answer: C | Question # 5 Answer: B |
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