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

SectionWeightObjectives
Topic 1: Inferential Statistics & Study Design20%- Confidence intervals for means/proportions
- Sampling methods and bias
- Observational studies vs experiments
- Hypothesis testing framework and interpretation
Topic 2: Descriptive Statistics25%- 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 & Regression20%- Simple linear regression models
- Interpreting slope, intercept, and R-squared
- Predictions and limitations of regression
- Correlation coefficient and interpretation
Topic 4: Probability Concepts20%- 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 & 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:

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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