Pass Guaranteed 2026 Applied-Probability-and-Statistics: Applied Probability and Statistics (FZO1 C955)–Trustable Practice Questions

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

SectionWeightObjectives
Topic 1: Correlation & Regression20%- Predictions and limitations of regression
- Correlation coefficient and interpretation
- Interpreting slope, intercept, and R-squared
- Simple linear regression models
Topic 2: Basic Numeracy & Algebra15%- Arithmetic operations, fractions, decimals, percentages
- Linear equations, inequalities, graphing functions
- Exponents, roots, and basic formulas
Topic 3: Descriptive Statistics25%- Measures of spread: range, IQR, variance, standard deviation
- Types of data: categorical, discrete, continuous
- Graphical displays: histograms, boxplots, scatterplots
- Measures of center: mean, median, mode
Topic 4: Inferential Statistics & Study Design20%- Sampling methods and bias
- Confidence intervals for means/proportions
- Observational studies vs experiments
- Hypothesis testing framework and interpretation
Topic 5: Probability Concepts20%- Discrete and continuous probability distributions
- Probability rules, independent and dependent events
- Normal distribution and empirical rule
- Conditional probability and Venn diagrams

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WGU Applied Probability and Statistics (FZO1 C955) Sample Questions (Q21-Q26):

NEW QUESTION # 21
Histogram vs bar chart:

Answer: B


NEW QUESTION # 22
Correlation coefficient = #0.7. This indicates:

Answer: C

Explanation:
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.


NEW QUESTION # 23
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?

Answer: C


NEW QUESTION # 24
Binomial expected value = ?

Answer: D

Explanation:
For a binomial random variable, the expected value is E(X) = np, where n is the number of trials and p is the probability of success on each trial. The binomial model applies when there is a fixed number of independent trials, each trial has two outcomes, and the probability of success remains constant. The expected value represents the long-run average number of successes across repeated binomial experiments. For example, if a test has 20 independent questions and the probability of success on each is 0.75, the expected number correct is 20 × 0.75 = 15. Option B, n/p, and option C, p/n, do not represent the binomial mean. Option D, n + p, incorrectly adds the number of trials and success probability, which are not comparable units. The formula np captures both how many opportunities there are and how likely success is on each opportunity. Study Guide references/topics: binomial distribution, expected value, success probability, discrete random variables.


NEW QUESTION # 25
Two independent events: P(A and B) = ?

Answer: D

Explanation:
For independent events, the probability that both events occur is the product of their individual probabilities.
The rule is P(A and B) = P(A) × P(B). Independence means that the occurrence of one event does not change the probability of the other. For example, if a coin is tossed and a die is rolled, the probability of heads and rolling a 4 is 1/2 × 1/6 = 1/12. Option B is an addition expression used in "or" problems, not "and" problems.
Option C applies to mutually exclusive events, not independent events. Option D would mean both events are certain to occur together, which is not generally true. The word "and" signals intersection, and independence allows the intersection to be calculated by multiplication. Study Guide references/topics: independent events, multiplication rule, joint probability, compound probability.


NEW QUESTION # 26
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