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WGU Applied-Probability-and-Statistics Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Inferential Statistics & Study Design | 20% | - Confidence intervals for means/proportions - Sampling methods and bias - Observational studies vs experiments - Hypothesis testing framework and interpretation |
| Topic 2: Descriptive Statistics | 25% | - Measures of center: mean, median, mode - Measures of spread: range, IQR, variance, standard deviation - Types of data: categorical, discrete, continuous - Graphical displays: histograms, boxplots, scatterplots |
| Topic 3: Correlation & Regression | 20% | - Simple linear regression models - Interpreting slope, intercept, and R-squared - Predictions and limitations of regression - Correlation coefficient and interpretation |
| Topic 4: 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 5: 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:
Question 1
Two independent events: P(A) = 0.3, P(B) = 0.2. P(A or B) = ?
A. 0.06
B. 0.44
C. 0.1
D. 0.5
Question 2
There are 14 black, 16 white, and 10 red balls in a box.
What is the probability of selecting 1 black ball, then 1 red ball, and then 1 white ball, replacing the ball each time?
A. 7/100
B. 7/200
C. 7/50
D. 21/200
Question 3
A class of 25 students includes 10 who play soccer, 8 who play basketball, and 7 who play neither sport.
What is the probability of randomly selecting a student who does not play soccer?
A. .30
B. .60
C. .40
D. .50
Question 4
68-95-99.7 rule: % within 1 SD?
A. 68%
B. 50%
C. 95%
D. 99%
Question 5
Histogram is best for:
A. Categorical data
B. Continuous numerical data frequency
C. Scatterplots
D. Boxplots
Solutions:
| Question 1 Answer: B | Question 2 Answer: B | Question 3 Answer: B | Question 4 Answer: A | Question 5 Answer: B |
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