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WGU Applied-Probability-and-Statistics Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: 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 2: Inferential Statistics & Study Design | 20% | - Confidence intervals for means/proportions - Observational studies vs experiments - Hypothesis testing framework and interpretation - Sampling methods and bias |
| Topic 3: Basic Numeracy & Algebra | 15% | - Exponents, roots, and basic formulas - Linear equations, inequalities, graphing functions - Arithmetic operations, fractions, decimals, percentages |
| Topic 4: Correlation & Regression | 20% | - Simple linear regression models - Interpreting slope, intercept, and R-squared - Predictions and limitations of regression - Correlation coefficient and interpretation |
| Topic 5: Descriptive Statistics | 25% | - Types of data: categorical, discrete, continuous - Graphical displays: histograms, boxplots, scatterplots - Measures of center: mean, median, mode - Measures of spread: range, IQR, variance, standard deviation |
WGU Applied Probability and Statistics (FZO1 C955) Sample Questions:
1. A team of scientists wants to understand the relationship between smoking and lung cancer. They collect data from 1,000 individuals, recording their smoking habits and whether they have been diagnosed with lung cancer. The scientists then analyze the data to find any correlations.
Is this study observational or experimental?
A) Observational, because the researchers are collecting data without manipulating any variables.
B) Observational, because the study involves a large sample size.
C) Experimental, because the researchers are analyzing the data to find correlations.
D) Experimental, because the researchers are testing the effects of smoking on lung cancer.
2. Z-score = ?
A) x/ #
B) (x # # )/ #
C) x # #
D) # /x
3. Type II error = ?
A) Reject H# when true
B) None
C) Correct decision
D) Accept H# when false
4. A teacher plots the test scores of a class using the box plot.
What is the interquartile range?
A) 8 points
B) 18 points
C) 10 points
D) 22 points
5. Two dice rolled. Probability sum = 7?
A) 5/36
B) 1/6
C) 1/12
D) 6/36
Solutions:
| Question # 1 Answer: A | Question # 2 Answer: B | Question # 3 Answer: D | Question # 4 Answer: B | Question # 5 Answer: D |
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