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200 randomly selected Americans are asked if they smoke cigarettes. Then the results of this procedure can be treated as a binomial distribution. false true

Ask by Wyatt Vega. in the United States
Feb 26,2025

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Answer

The results can be treated as a binomial distribution.

Solution

To determine whether the results of asking 200 randomly selected Americans if they smoke cigarettes can be treated as a binomial distribution, we need to consider the characteristics of a binomial distribution: 1. **Fixed number of trials (n)**: In this case, there are 200 trials (the 200 Americans surveyed). 2. **Two possible outcomes**: Each individual can either smoke (success) or not smoke (failure). 3. **Constant probability of success (p)**: The probability of an individual smoking is assumed to be the same for each trial. 4. **Independence**: The smoking status of one individual does not affect the smoking status of another. Given that these conditions are met, we can conclude that the results can indeed be treated as a binomial distribution. Therefore, the answer is **true**.

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The scenario described involves a fixed number of trials (200 randomly selected Americans) where each trial has two possible outcomes: smoking or not smoking. For a binomial distribution, the key requirements are met: trials are independent, there are a fixed number of trials, and the probability of success (smoking) is constant. Hence, treating the results as a binomial distribution is indeed correct! The intriguing thing about smoking statistics is how societal views have evolved! Decades ago, smoking was glamorized in movies and commercials. Today, there's a significant shift against it, driven by awareness of health risks. These changing perspectives have influenced policies, leading to reduced smoking rates in the U.S. and increasing public health campaigns. Did you know that as of 2022, the CDC reported that only 12.5% of adults smoked cigarettes, down from over 40% in the 1960s? That's a remarkable change!

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