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WGU Applied-Probability-and-Statistics Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Basic Numeracy & Algebra | 15% | - Linear equations, inequalities, graphing functions - Arithmetic operations, fractions, decimals, percentages - Exponents, roots, and basic formulas |
| Topic 2: Descriptive Statistics | 25% | - Measures of spread: range, IQR, variance, standard deviation - Graphical displays: histograms, boxplots, scatterplots - Types of data: categorical, discrete, continuous - Measures of center: mean, median, mode |
| Topic 3: Correlation & Regression | 20% | - Correlation coefficient and interpretation - Predictions and limitations of regression - Interpreting slope, intercept, and R-squared - Simple linear regression models |
| Topic 4: Probability Concepts | 20% | - Probability rules, independent and dependent events - Conditional probability and Venn diagrams - Normal distribution and empirical rule - Discrete and continuous probability distributions |
| Topic 5: Inferential Statistics & Study Design | 20% | - Confidence intervals for means/proportions - Observational studies vs experiments - Sampling methods and bias - Hypothesis testing framework and interpretation |
WGU Applied Probability and Statistics (FZO1 C955) Sample Questions:
Question 1
95% confidence interval for mean = (45, 55). Which statement is correct?
A. Interval is fixed probability
B. Mean is 50
C. Population mean always 55
D. Population mean is 95% likely within interval
Question 2
Two events mutually exclusive # P(A and B) = ?
A. 0
B. P(A)P(B)
C. P(A) + P(B)
D. 1
Question 3
P(A) = 0.3, P(B) = 0.4, A and B independent. P(A and B) = ?
A. 0.3
B. 0.7
C. 0.1
D. 0.12
Question 4
Binomial distribution parameters = ?
A. None
B. n, trials; p, success probability
C. # and #
D. #
Question 5
A gardener records the length of a plant over a duration of 35 weeks. The scatterplot shows the data.
What is the relationship between length and time?
A. There is a strong positive relationship between time and the height of the plant.
B. There is a weak negative relationship between time and the height of the plant.
C. There is a strong negative relationship between time and the height of the plant.
D. There is a weak positive relationship between time and the height of the plant.
Solutions:
| Question 1 Answer: D | Question 2 Answer: A | Question 3 Answer: D | Question 4 Answer: B | Question 5 Answer: A |
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