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WGU Applied-Probability-and-Statistics Exam Syllabus Topics:

Section	Objectives
Regression and Correlation	- Relationship analysis 1. Simple linear regression basics 2. Correlation coefficient interpretation
Descriptive Statistics	- Data summarization 1. Measures of variability (range, variance, standard deviation) 2. Measures of central tendency (mean, median, mode) - Data visualization 1. Histograms and frequency distributions 2. Box plots and interpretation
Probability Distributions	- Continuous distributions 1. Normal distribution 2. Standard normal and z-scores - Discrete distributions 1. Binomial distribution 2. Poisson distribution (introductory use cases)
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
Probability	- Fundamental probability concepts 1. Conditional probability and independence 2. Events and sample spaces - Probability rules 1. Bayes’ theorem (introductory level) 2. Addition and multiplication rules

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WGU Applied Probability and Statistics (FZO1 C955) Sample Questions (Q117-Q122):

NEW QUESTION # 117
A golf course is attempting to correlate golfing handicap with math SAT scores among local high school golfers. Ignoring potential confounding variables such as socioeconomic status, the golf course creates the following scatterplot.

What is the estimated value of r, the correlation coefficient, between these variables?

A. #0.10
B. 0.10
C. #0.63
D. 0.63

Answer: A

Explanation:
The correlation coefficient r measures the direction and strength of a linear relationship between two quantitative variables. In the scatterplot, the points are widely dispersed, so the relationship is weak rather than strong. The fitted trend line slopes slightly downward, indicating a negative association: as golf handicap increases, math SAT score tends to decrease slightly. Because the pattern is weak and negative, r should be close to 0 but less than 0. The best match is #0.10. Option A, #0.63, would represent a moderately strong negative linear relationship, which would require the points to cluster more tightly around a downward- sloping line. Option C, 0.10, has the right weak magnitude but the wrong direction because it is positive.
Option D, 0.63, is both too strong and positive. The visual evidence supports only a very slight negative linear association. References/topics from the Study Guide: scatterplots, correlation coefficient, positive and negative association, strength of linear relationship.

NEW QUESTION # 118
Probability of rolling sum = 2 on 2 dice = ?

A. 1/12
B. 1/6
C. 2/36
D. 1/36

Answer: D

Explanation:
When two standard six-sided dice are rolled, there are 6 × 6 = 36 equally likely ordered outcomes. To get a sum of 2, the only possible ordered pair is (1, 1). No other pair of die faces can produce a total of 2 because 1 is the smallest value on each die. Therefore, there is 1 favorable outcome out of 36 total outcomes, giving a probability of 1/36. Option B, 1/6, is the probability of one specific result on a single die, not a two-dice sum.
Option C, 2/36, would require two favorable ordered pairs, but only one exists. Option D, 1/12, is also too large because it corresponds to 3 outcomes out of 36. The key is to count ordered outcomes in the full two- dice sample space. Study Guide references/topics: dice probability, sample space, favorable outcomes, theoretical probability.

NEW QUESTION # 119
P(A) = 0.3, P(B) = 0.4, A and B independent. P(A and B) = ?

A. 0.12
B. 0.1
C. 0.3
D. 0.7

Answer: A

Explanation:
For independent events, the occurrence of one event does not change the probability of the other event. The multiplication rule states that if A and B are independent, then P(A and B) = P(A) × P(B). Here, P(A) = 0.3 and P(B) = 0.4. Therefore, P(A and B) = 0.3 × 0.4 = 0.12. This means there is a 12% probability that both events occur. Option B, 0.7, incorrectly adds the probabilities and would only be part of an "or" calculation, not an "and" calculation. Option D repeats P(A), and option C does not follow from the multiplication rule.
The phrase "A and B independent" is the decisive condition because it permits direct multiplication without adjusting for conditional probability. Study Guide references/topics: independent events, multiplication rule, compound probability, joint probability.

NEW QUESTION # 120
Probability of rolling an odd number on a die:

A. 1/3
B. 1/6
C. 1/2
D. 2/3

Answer: C

Explanation:
A standard six-sided die has six equally likely outcomes: 1, 2, 3, 4, 5, and 6. The odd outcomes are 1, 3, and
5. Thus, there are 3 favorable outcomes out of 6 possible outcomes. The probability is 3/6, which simplifies to
1/2. This means an odd number is just as likely as an even number on a fair die. Option B, 1/3, would represent 2 favorable outcomes out of 6, which is not correct. Option C, 1/6, is the probability of rolling one specific number, such as only a 1. Option D, 2/3, would require 4 favorable outcomes out of 6. Since exactly half the faces are odd, the probability is one-half. Study Guide references/topics: theoretical probability, equally likely outcomes, sample space, favorable outcomes.

NEW QUESTION # 121
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 less likely than a business owner to favor the new transportation system.
B. A resident is much more likely than a business owner to favor the new transportation system.
C. A resident is slightly more likely than a business owner to favor the new transportation system.
D. A resident is slightly less likely than a business owner to favor the new transportation system.

Answer: B

Explanation:
This question requires comparing conditional percentages from a two-way table. For residents, 150 out of 200 are in favor of the proposed transportation system. The resident support rate is therefore 150/200 = 0.75, or
75%. For business owners, 30 out of 100 are in favor. The business owner support rate is 30/100 = 0.30, or
30%. The difference is 75% # 30% = 45 percentage points, which is a large gap. Therefore, a resident is much more likely than a business owner to favor the new transportation system. Option A understates the magnitude of the difference by calling it slight. Options B and C reverse the direction of the comparison because residents have the higher support rate, not the lower one. The appropriate statistical tool here is conditional percentage because support is being compared within each respondent group. References/topics from the Study Guide: contingency tables, conditional percentages, two-variable categorical data, comparative proportions.

NEW QUESTION # 122
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