Applied-Probability-and-Statistics Prüfungsfragen, Applied-Probability-and-Statistics Fragen und Antworten, Applied Probability and Statistics (FZO1 C955)
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WGU Applied-Probability-and-Statistics Exam Syllabus Topics:
| Section | Objectives |
|---|
| Statistical Inference | - Hypothesis Testing (Introductory Level)
- 1. Null vs alternative hypothesis
- 2. p-values interpretation
- Estimation and Confidence Intervals
- 1. Point estimates
- 2. Confidence interval interpretation
|
| Descriptive Statistics | - Two Variable Data Analysis
- 1. Correlation
- 2. Outliers and relationships
- 3. Scatter plots interpretation
- Single Variable Data Analysis
- 1. Measures of central tendency (mean, median, mode)
- 2. Data visualization (histograms, box plots)
- 3. Measures of dispersion (variance, standard deviation, range)
|
| Probability Theory | - Fundamental Probability Concepts
- 1. Basic probability rules
- 2. Independent vs dependent events
- 3. Conditional probability
- Probability Distributions
- 1. Binomial distribution basics
- 2. Normal distribution
|
| Regression and Modeling | - Linear Relationships
- 1. Simple linear regression
- 2. Slope and intercept interpretation
|
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WGU Applied Probability and Statistics (FZO1 C955) Applied-Probability-and-Statistics Prüfungsfragen mit Lösungen (Q135-Q140):
135. Frage
Correlation coefficient = #0.7. This indicates:
- A. Weak positive
- B. Strong negative linear relationship
- C. Strong positive
- D. No relationship
Antwort: B
Begründung:
The correlation coefficient r measures the direction and strength of a linear relationship between two quantitative variables. Values of r range from #1 to 1. A negative value indicates that as one variable increases, the other variable tends to decrease. The value #0.7 is fairly close to #1, so it represents a strong negative linear relationship. It is not perfect, because perfect negative correlation would be r = #1, but it is clearly stronger than a weak association. Option B is incorrect because the sign is negative, not positive.
Option C is incorrect because no linear relationship would be represented by a correlation near 0. Option D is incorrect both in direction and strength. A scatterplot with r = #0.7 would generally show points trending downward from left to right, with some scatter around the trend. Study Guide references/topics: correlation coefficient, negative association, linear relationships, scatterplot interpretation.
136. Frage
In a standard normal distribution, z-score for the mean = ?
- A. 0
- B. #1
- C. Cannot determine
- D. 1
Antwort: D
Begründung:
A z-score measures how many standard deviations a value is above or below the mean. The formula is z = (x
# #) / #, where x is the observed value, # is the mean, and # is the standard deviation. If the observed value equals the mean, then x = #. Substituting into the formula gives z = (# # #) / # = 0 / # = 0. Therefore, the z- score corresponding to the mean is always 0 in any normal distribution, including the standard normal distribution. In the standard normal distribution specifically, the mean is 0 and the standard deviation is 1, so the mean lies exactly at z = 0. A z-score of 1 would indicate one standard deviation above the mean, and #1 would indicate one standard deviation below the mean. Study Guide references/topics: standard normal distribution, z-scores, mean, standard deviation.
137. Frage
The pie chart shows the contribution of different renewable energy sources to the total energy production.

What is true about the given data?
- A. Hydropower and biomass together contribute more than solar energy to the total production.
- B. Geothermal contributes the least to the total production.
- C. Biomass and geothermal together contribute more than wind energy to the total production.
- D. Solar power contributes the most to the total production.
Antwort: D
Begründung:
A pie chart displays how a whole is divided into categorical parts, usually as percentages totaling 100%. The chart shows solar at 35%, hydropower at 30%, wind at 20%, geothermal at 10%, and biomass at 5%. The largest percentage is solar, so solar power contributes the most to total energy production. Option A is false because hydropower plus biomass equals 30% + 5% = 35%, which is equal to solar, not more than solar.
Option B is false because geothermal is 10%, while biomass is only 5%; therefore, biomass contributes the least. Option C is false because biomass plus geothermal equals 5% + 10% = 15%, which is less than wind at
20%. The correct interpretation requires comparing category percentages accurately rather than relying on visual size alone. References/topics from the Study Guide: pie charts, categorical data, percentages, interpreting graphical displays.
138. Frage
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?
Antwort: D
139. Frage
Z-score formula = ?
- A. # / #
- B. (x + # )/ #
- C. x/ #
- D. (x # # )/ #
Antwort: D
Begründung:
The z-score formula is z = (x # #)/#, where x is the observed value, # is the population mean, and # is the population standard deviation. A z-score standardizes a raw value by measuring how many standard deviations it lies above or below the mean. The numerator, x # #, gives the deviation from the mean. Dividing by # converts that deviation into standard deviation units. If z is positive, the value is above the mean. If z is negative, the value is below the mean. If z = 0, the value equals the mean. Option B incorrectly adds the value and mean, which does not measure deviation. Option C ignores the mean, and option D ignores the observed value entirely. The z-score is central for normal distribution calculations because it allows values from different scales to be compared using the standard normal distribution. Study Guide references/topics: z- scores, standard normal distribution, mean, standard deviation.
140. Frage
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