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WGU Applied-Probability-and-Statistics Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Correlation & Regression | 20% | - Predictions and limitations of regression - Interpreting slope, intercept, and R-squared - Correlation coefficient and interpretation - Simple linear regression models |
| Basic Numeracy & Algebra | 15% | - Exponents, roots, and basic formulas - Linear equations, inequalities, graphing functions - Arithmetic operations, fractions, decimals, percentages |
| Inferential Statistics & Study Design | 20% | - Hypothesis testing framework and interpretation - Sampling methods and bias - Observational studies vs experiments - Confidence intervals for means/proportions |
| Descriptive Statistics | 25% | - Graphical displays: histograms, boxplots, scatterplots - Types of data: categorical, discrete, continuous - Measures of center: mean, median, mode - Measures of spread: range, IQR, variance, standard deviation |
| Probability Concepts | 20% | - Conditional probability and Venn diagrams - Normal distribution and empirical rule - Discrete and continuous probability distributions - Probability rules, independent and dependent events |
WGU Applied Probability and Statistics (FZO1 C955) Sample Questions:
1. Conditional probability P(A|B) = P(A and B)/P(B) #
A) True only if P(B) = 0
B) True
C) False
D) True only if A and B are mutually exclusive
2. A t-distribution is used when:
A) # known, large sample
B) # unknown, small sample
C) Data continuous
D) Population categorical
3. A fitness center owner notices that gym attendance increases as the number of daylight hours increases. The owner calculates a correlation coefficient between daylight hours and gym attendance of r = 0.72.
Based on this information, what can be concluded?
A) There is a negative association between daylight hours and gym attendance.
B) There is a positive association between daylight hours and gym attendance.
C) There is a positive, causal relationship between daylight hours and gym attendance.
D) There is a negative, causal relationship between daylight hours and gym attendance.
4. A city council surveys residents and business owners about a proposed new public transportation system. The results of the survey are shown in the following 2 × 2 contingency table.
Which statement is true?
A) A resident is much more likely than a business owner to favor the new transportation system.
B) A resident is much less likely than a business owner to favor the new transportation system.
C) A resident is slightly less likely than a business owner to favor the new transportation system.
D) A resident is slightly more likely than a business owner to favor the new transportation system.
5. In a game, a coin is tossed, and a spinner with 8 equal spaces numbered 1 through 8 is spun.
What is the probability of getting heads on the coin and a number less than 3 on the spinner?
A) 1/2
B) 1/8
C) 1/4
D) 3/8
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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