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

SectionWeightObjectives
Probability Concepts20%- Discrete and continuous probability distributions
- Probability rules, independent and dependent events
- Normal distribution and empirical rule
- Conditional probability and Venn diagrams
Inferential Statistics & Study Design20%- Observational studies vs experiments
- Sampling methods and bias
- Hypothesis testing framework and interpretation
- Confidence intervals for means/proportions
Descriptive Statistics25%- Types of data: categorical, discrete, continuous
- Graphical displays: histograms, boxplots, scatterplots
- Measures of spread: range, IQR, variance, standard deviation
- Measures of center: mean, median, mode
Correlation & Regression20%- Interpreting slope, intercept, and R-squared
- Predictions and limitations of regression
- Simple linear regression models
- Correlation coefficient and interpretation
Basic Numeracy & Algebra15%- 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 tech company surveys its employees to assess remote work preferences. The survey reveals that 55% of employees prefer working remotely, while the remaining employees prefer working in the office. Of the employees who prefer remote work, 75% report high productivity. Among those who prefer working in the office, only 50% report high productivity.
Which percentage of employees prefer working in the office and report high productivity?

A) 22.5%
B) 27.5%
C) 45%
D) 50%


2. Probability it does NOT rain = 1 # 0.25 = ?

A) 0.5
B) 0.75
C) 1
D) 0.25


3. Correlation coefficient = #0.7. This indicates:

A) No relationship
B) Strong negative linear relationship
C) Weak positive
D) Strong positive


4. In a class of 30 students, 18 are enrolled in a math course, and 12 are enrolled in a science course. Among the students enrolled in the science course, 8 are also enrolled in the math course.
What is the probability that a student is enrolled in the math course given that they are enrolled in the science course?

A) .67
B) .27
C) .40
D) .44


5. A 10-sided die is rolled in a role-playing game.
What is the probability of rolling a number that is a multiple of 2 or greater than 7?

A) 4/5
B) 1/2
C) 3/5
D) 7/10


Solutions:

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

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