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WGU Applied-Probability-and-Statistics Exam Syllabus Topics:

SectionWeightObjectives
Basic Numeracy & Algebra15%- Exponents, roots, and basic formulas
- Linear equations, inequalities, graphing functions
- Arithmetic operations, fractions, decimals, percentages
Probability Concepts20%- Probability rules, independent and dependent events
- Normal distribution and empirical rule
- Discrete and continuous probability distributions
- Conditional probability and Venn diagrams
Descriptive Statistics25%- Measures of spread: range, IQR, variance, standard deviation
- Types of data: categorical, discrete, continuous
- Measures of center: mean, median, mode
- Graphical displays: histograms, boxplots, scatterplots
Inferential Statistics & Study Design20%- Confidence intervals for means/proportions
- Observational studies vs experiments
- Sampling methods and bias
- Hypothesis testing framework and interpretation
Correlation & Regression20%- Predictions and limitations of regression
- Interpreting slope, intercept, and R-squared
- Simple linear regression models
- Correlation coefficient and interpretation

WGU Applied Probability and Statistics (FZO1 C955) Sample Questions:

1. Probability of drawing red or black card = ?

A) 1/2
B) 0.25
C) 1
D) 0


2. What is the mode of this dataset: 3, 5, 7, 7, 10?

A) The mode is 5.
B) The mode is 7.
C) The mode is 3.
D) The mode is 10.


3. Z-score formula = ?

A) (x + # )/ #
B) (x # # )/ #
C) x/ #
D) # / #


4. R² = 0.81 # correlation r = ?

A) 0.9
B) ±0.81
C) 0.81
D) ±0.9


5. There are 10 green, 20 yellow, and 15 purple marbles in a jar.
What is the probability of selecting 2 green marbles in a row and then 1 yellow marble, replacing the marble each time?

A) 12/729
B) 16/729
C) 8/225
D) 4/225


Solutions:

Question # 1
Answer: C
Question # 2
Answer: B
Question # 3
Answer: B
Question # 4
Answer: D
Question # 5
Answer: B

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