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WGU Applied-Probability-and-Statistics Exam Syllabus Topics:
| Section | Objectives |
| Topic 1: Probability Distributions | - Discrete distributions
- 1. Binomial distribution
- 2. Poisson distribution (introductory use cases)
- Continuous distributions
- 1. Normal distribution
- 2. Standard normal and z-scores
|
| Topic 2: Descriptive Statistics | - Data visualization
- 1. Histograms and frequency distributions
- 2. Box plots and interpretation
- Data summarization
- 1. Measures of variability (range, variance, standard deviation)
- 2. Measures of central tendency (mean, median, mode)
|
| Topic 3: Statistical Inference | - Estimation
- 1. Confidence intervals for means and proportions
- Hypothesis testing
- 1. t-tests and z-tests (basic application)
- 2. Null and alternative hypotheses
|
| Topic 4: Probability | - Fundamental probability concepts
- 1. Events and sample spaces
- 2. Conditional probability and independence
- Probability rules
- 1. Addition and multiplication rules
- 2. Bayes’ theorem (introductory level)
|
| Topic 5: Regression and Correlation | - Relationship analysis
- 1. Correlation coefficient interpretation
- 2. Simple linear regression basics
|
WGU Applied Probability and Statistics (FZO1 C955) Sample Questions:
1. Chi-square test used for:
A) Association of categorical variables
B) Means of two samples
C) Regression
D) Variance
2. Correlation coefficient r = #0.5 #
A) Weak positive
B) Moderate negative linear relationship
C) Strong positive
D) No relationship
3. 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) Experimental, because the researchers are analyzing the data to find correlations.
C) Experimental, because the researchers are testing the effects of smoking on lung cancer.
D) Observational, because the study involves a large sample size.
4. Expected value of binomial X ~ B(10, 0.3) = ?
A) 0.3
B) 7
C) 10
D) 3
5. Probability of rolling sum = 12 = ?
A) 1/6
B) 1/36
C) 2/36
D) 1/12
Solutions:
Question # 1 Answer: A | Question # 2 Answer: B | Question # 3 Answer: A | Question # 4 Answer: D | Question # 5 Answer: B |