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WGU Applied-Probability-and-Statistics Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| 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 |
| Basic Numeracy & Algebra | 15% | - Arithmetic operations, fractions, decimals, percentages - Linear equations, inequalities, graphing functions - Exponents, roots, and basic formulas |
| Probability Concepts | 20% | - Conditional probability and Venn diagrams - Normal distribution and empirical rule - Discrete and continuous probability distributions - Probability rules, independent and dependent events |
| Inferential Statistics & Study Design | 20% | - Sampling methods and bias - Observational studies vs experiments - Hypothesis testing framework and interpretation - Confidence intervals for means/proportions |
| Correlation & Regression | 20% | - Predictions and limitations of regression - Interpreting slope, intercept, and R-squared - Correlation coefficient and interpretation - Simple linear regression models |
WGU Applied Probability and Statistics (FZO1 C955) Sample Questions:
1. Regression R² = 0.64. Interpretation?
A) 64% of variation in Y explained by X
B) Slope = 0.64
C) Correlation = 0.64
D) 64% chance of prediction
2. Probability of drawing king or queen from deck = ?
A) 4/52
B) 1/13
C) 8/52
D) 1/26
3. A person has a .5 probability of taking a train to work, a .3 probability of carpooling, and a .2 probability of walking. The probability of being late is .2 when taking the train, .1 when carpooling, and .05 when walking.
What is the probability of taking the train and being on time, or walking and being on time?
A) .45
B) .3
C) .4
D) .59
4. Probability it does NOT rain = 1 # 0.25 = ?
A) 0.75
B) 0.5
C) 1
D) 0.25
5. Central limit theorem applies when:
A) Data categorical
B) Population must be normal
C) Sample size large
D) Population unknown
Solutions:
| Question # 1 Answer: A | Question # 2 Answer: C | Question # 3 Answer: D | Question # 4 Answer: A | Question # 5 Answer: C |
