시험대비Applied-Probability-and-Statistics최고품질덤프문제보기덤프자료

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

Section	Objectives
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)
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	- Hypothesis testing 1. Null and alternative hypotheses 2. t-tests and z-tests (basic application) - Estimation 1. Confidence intervals for means and proportions
Regression and Correlation	- Relationship analysis 1. Simple linear regression basics 2. Correlation coefficient interpretation
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)

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최신 Courses and Certificates Applied-Probability-and-Statistics 무료샘플문제 (Q24-Q29):

질문 # 24
Binomial distribution parameters = ?

A. # and #
B. None
C. #
D. n, trials; p, success probability

정답：D

설명：
A binomial distribution is defined by two parameters: n and p. The parameter n is the fixed number of trials, and p is the probability of success on each trial. The model applies when trials are independent, each trial has two possible outcomes, and p remains constant. For example, if X is the number of heads in 10 fair coin flips, then X follows a binomial distribution with n = 10 and p = 0.5. Option B, #, is the parameter of a Poisson distribution, used for counts of events over intervals. Option C, # and #, commonly describes a normal distribution, where # is the mean and # is the standard deviation. Option D is incorrect because the binomial model has a precise parameter structure. Identifying n and p is essential before calculating binomial probabilities or expected value. Study Guide references/topics: binomial distribution, independent trials, success probability, discrete probability.

질문 # 25
Two dice rolled. Probability sum = 7?

A. 1/12
B. 5/36
C. 1/6
D. 6/36

정답：D

설명：
When two standard six-sided dice are rolled, there are 6 × 6 = 36 equally likely ordered outcomes. To find the probability that the sum is 7, count all ordered pairs that produce 7. These are (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1). There are 6 favorable outcomes. Therefore, the probability is 6/36, which simplifies to 1/6. Since the answer choices include both 6/36 and 1/6, the listed answer from the PDF uses the unsimplified equivalent form, 6/36. Option C, 5/36, omits one valid ordered pair. Option D, 1/12, is too small because it would represent only 3 favorable outcomes out of 36. This problem reinforces that dice outcomes are ordered when two dice are rolled, so (1,6) and (6,1) are counted separately. Study Guide references/topics: sample spaces, dice probability, favorable outcomes, theoretical probability.

질문 # 26
A die is rolled twice. Probability of rolling two sixes?

A. 1/12
B. 1/4
C. 1/36
D. 1/6

정답：C

설명：
Rolling a standard six-sided die twice creates two independent events. The probability of rolling a six on the first roll is 1/6 because there is one favorable outcome, six, out of six equally likely outcomes. The probability of rolling a six on the second roll is also 1/6. Because the outcome of the first roll does not affect the outcome of the second roll, the multiplication rule for independent events applies. Thus, P(six and six) = 1/6 × 1/6 = 1
/36. Another way to verify the result is to list the sample space: two die rolls produce 6 × 6 = 36 equally likely ordered outcomes. Only one outcome, (6, 6), satisfies the condition of two sixes. Therefore, the probability is
1 favorable outcome out of 36 total outcomes. Study Guide references/topics: independent events, multiplication rule, sample space, theoretical probability.

질문 # 27
What is the mode of this dataset: 3, 5, 7, 7, 10?

A. The mode is 3.
B. The mode is 7.
C. The mode is 10.
D. The mode is 5.

정답：B

설명：
The mode is the value that occurs most frequently in a data set. In the set 3, 5, 7, 7, 10, the value 3 appears once, 5 appears once, 10 appears once, and 7 appears twice. Since 7 has the highest frequency, it is the mode.
This question tests recognition of a measure of center that differs from the mean and median. The mean would require summing all values and dividing by the number of observations, while the median would identify the middle value after ordering the data. The data are already ordered, and the middle value is also 7, but the reason the correct answer is 7 here is specifically because it appears more often than any other value. Options A, B, and D each name values that occur only once, so none can be the mode. A dataset may have one mode, multiple modes, or no mode, but this dataset is unimodal. References/topics from the Study Guide: descriptive statistics, measures of center, frequency, mode.

질문 # 28
Histogram vs bar chart:

A. None
B. Histogram for numeric intervals, bar for categories
C. Same
D. Bar for numeric, histogram for categories

정답：B

설명：
A histogram and a bar chart both use bars, but they display different types of data. A histogram is used for quantitative numerical data grouped into intervals, such as ages, weights, test scores, or commute times. The bars represent continuous or ordered numeric ranges, and the bars usually touch to show that the scale is continuous. A bar chart is used for categorical data, such as favorite sport, political party, product type, or survey response category. The bars are separated because the categories are distinct labels rather than continuous intervals. Option B reverses the correct uses. Option C is incorrect because the graphs are not the same even though both contain bars. Option D is invalid because option A states the standard distinction.
Correct graph selection depends on identifying whether the variable is categorical or quantitative. Study Guide references/topics: histograms, bar charts, categorical data, quantitative data displays.

질문 # 29
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