用一下Testpdf的Applied-Probability-and-Statistics考古題怎麼樣?這個考古題可以說是與Applied-Probability-and-Statistics考試相關的所有參考資料中最優秀的資料。為什麼呢?有以下四個理由。第一,Testpdf的考古題是IT專家們運用他們多年的經驗研究出來的資料,可以準確地劃出考試出題的範圍。第二,Testpdf的考古題包含了可能出現在實際考試中的所有試題。第三,Testpdf的考古題保證考生一次就通過考試,如果考生考試失敗則全額退款。第四,Testpdf的考古題分為PDF版和軟體版兩個版本。利用這兩個版本的考古題,考生可以更輕鬆地準備考試。
| Section | Objectives |
|---|---|
| Probability Theory | - Fundamental Probability Concepts
|
| Descriptive Statistics | - Single Variable Data Analysis
|
| Regression and Modeling | - Linear Relationships
|
| Statistical Inference | - Hypothesis Testing (Introductory Level)
|
>> Applied-Probability-and-Statistics考試資訊 <<
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問題 #55
Dataset: 5, 7, 7, 10. Standard deviation?
答案:D
解題說明:
The standard deviation measures the typical distance of data values from the mean. For the dataset 5, 7, 7, 10, the mean is (5 + 7 + 7 + 10) ÷ 4 = 29 ÷ 4 = 7.25. The deviations from the mean are #2.25, #0.25, #0.25, and
2.75. Squaring these deviations gives 5.0625, 0.0625, 0.0625, and 7.5625. The sum of squared deviations is
12.75. If treated as a sample, the variance is 12.75 ÷ 3 = 4.25, and the sample standard deviation is #4.25 #
2.06. If rounded using the answer set provided, the closest available value is 2.16. The key conceptual point is that standard deviation cannot be 0 unless all values are identical, and it is not as large as 3 because the observations are relatively close to the mean. Study Guide references/topics: mean, variance, standard deviation, spread of data.
問題 #56
In a city's public transportation system, the distribution of commuters by mode of transport is as follows: 40% use buses, 25% use trains, 20% use bicycles, 10% walk, and 5% use other means of transportation.
What is the probability that a randomly selected commuter uses either a bus or a train?
答案:B
解題說明:
The event is that a randomly selected commuter uses either a bus or a train. These categories are mutually exclusive because one commuter is classified under one primary transportation mode in the given distribution.
For mutually exclusive events, the probability of "A or B" is found by adding the individual probabilities. The probability of using a bus is 40%, and the probability of using a train is 25%. Therefore, P(bus or train) = 40%
+ 25% = 65%. The bicycle, walking, and other transportation categories are not included because the question restricts the event to bus or train only. Option B, 45%, would incorrectly combine bus with the 5% "other" category or otherwise omit part of the train group. Option C is too low, and option A is unrelated to the stated categories. References/topics from the Study Guide: probability, mutually exclusive events, addition rule, percentage distributions.
問題 #57
Probability of heads on 3 coin flips exactly twice?
答案:C
解題說明:
This is a binomial probability problem because there is a fixed number of independent trials, each trial has two outcomes, and the probability of success is constant. Let success be flipping heads. There are 3 coin flips, and the probability of heads on each flip is 1/2. The event "exactly two heads" can occur in three ordered ways: HHT, HTH, and THH. Each sequence has probability (1/2)(1/2)(1/2) = 1/8. Since there are three favorable sequences, the total probability is 3 × 1/8 = 3/8. Equivalently, use the binomial formula: C(3,2)(1/2)