AP
Statistics
Chapter 5.1
Probability and
Simulations
100

In which stage of a simulation do you formulate the question or problem you aim to address?

What is the "State" stage?

100

What quantity is expressed as a decimal and represents the number of specific outcomes within a specified time period?

What is relative frequency?

100

In probability, what term refers to the specific result whose likelihood is being computed or measured?

What is success?

100

What term refers to each repetition or observation of an experiment or process?

What is a Trial?

100

What is the probability of an event that cannot occur in a given situation?

What is 0?

200

What concept represents the proportion of time an outcome would occur in the long run, assuming the experiment is repeated indefinitely?

What is the long-term proportion of an outcome?

200

During which stage of a simulation do you create a detailed plan outlining the steps and procedures to be followed?

What is the "Plan" stage?

200

What term represents the mean of a probability distribution?

What is the expected value?

200

During which stage of a simulation do you draw conclusions based on the results obtained and answer the original question of interest?

What is the "Conclude" stage?

200

How would you interpret the Law of Large Numbers in terms of the relationship between sample size and the reliability of sample statistics?

What is larger sample sizes lead to more reliable sample statistics?

300

Some people distinguish between using a computer applet and empirically estimating probabilities by doing what?

What is tossing a coin multiple times?

300

Why do short-term proportions of outcomes often not appear random in trials?

What is the absence of regularity that emerges only with very many repetitions?

300

According to the Law of Large Numbers, what does the size of the sample drawn from a population affect?

What is the representativeness of the resulting group of individuals?

300

Despite the inability to foresee the results, what is a characteristic of the distribution of outcomes in chance processes?

What is a regular distribution across a large number of repetitions?

300

Why is it important to repeat a simulation multiple times in the "Do" stage, as opposed to just conducting it once?

What is to account for variability and obtain a more accurate representation of the probability distribution?

400

What is the initial step in performing a simulation where the question of interest is clearly defined?

What is the "State" stage?

400

What type of probability involves conducting experiments to observe the frequency of event occurrences?

What is empirical probability?

400

In a simulation, what stage involves the actual execution of the planned procedures, often with many repetitions?

What is the "Do" stage

400

What fallacious notion suggests that outcomes of a random process must "even out" over time?

What is the law of Averages?

400

What is the key difference between relative frequency and empirical probability in terms of how probabilities are determined?

What is relative frequency is based on observed outcomes, while empirical probability involves conducting experiments to observe frequencies?

500

What fundamental principle states that the larger the number of individuals drawn randomly from a population, the more representative the resulting group will be?

What is the Law of Large Numbers?

500

What statistical concept involves the imitation of chance behavior based on a model that accurately reflects a given situation?

What is a simulation?

500

According to the concept of probability, what can be predicted over time in the context of unpredictability?

What is that unpredictability can be predicted?

500

Despite the inability to foresee the results, what is a characteristic of the distribution of outcomes in chance processes?

What is a regular distribution across a large number of repetitions?

500

In the "Conclude" stage of a simulation, what statistical methods can be employed to summarize and interpret the results?

What is constructing confidence intervals, performing hypothesis tests, and summarizing key statistics?

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