Thank you for visiting The table below shows the results of the survey displaying the counts for each column and row in the given table Coffee Scone Tea Total. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
To solve this question, we want to determine the probabilities associated with individuals choosing certain options from the survey results.
Let's break this down step-by-step:
1. Understanding the Table:
- We have a table displaying preferences among survey participants for coffee, tea, and baked goods like scones, cookies, and muffins.
- The table provides individual totals for each category (such as total coffee drinkers, total scone eaters) and overall totals.
2. Identifying Totals from the Table:
- Total number of coffee drinkers is 160.
- Total number of scone eaters is 180.
- Total number of individuals surveyed is 500.
- There are 40 individuals who drink coffee and eat scones.
3. Calculating Probabilities:
- Probability of Selecting a Coffee Drinker:
- This is found by dividing the total number of coffee drinkers by the total number of individuals surveyed:
[tex]\[
\text{Probability of coffee drinker} = \frac{160}{500} = 0.32
\][/tex]
- Probability of Selecting a Scone Eater:
- This is calculated by dividing the total number of scone eaters by the total number of individuals surveyed:
[tex]\[
\text{Probability of scone eater} = \frac{180}{500} = 0.36
\][/tex]
- Probability of Selecting Someone Who Takes Both Coffee and Scone:
- This is determined by dividing the number of individuals who both drink coffee and eat scones by the total number of individuals surveyed:
[tex]\[
\text{Probability of both coffee and scone} = \frac{40}{500} = 0.08
\][/tex]
By following these steps, we arrive at the probabilities:
- 0.32 for coffee drinkers,
- 0.36 for scone eaters,
- and 0.08 for those who enjoy both coffee and scones.
Let's break this down step-by-step:
1. Understanding the Table:
- We have a table displaying preferences among survey participants for coffee, tea, and baked goods like scones, cookies, and muffins.
- The table provides individual totals for each category (such as total coffee drinkers, total scone eaters) and overall totals.
2. Identifying Totals from the Table:
- Total number of coffee drinkers is 160.
- Total number of scone eaters is 180.
- Total number of individuals surveyed is 500.
- There are 40 individuals who drink coffee and eat scones.
3. Calculating Probabilities:
- Probability of Selecting a Coffee Drinker:
- This is found by dividing the total number of coffee drinkers by the total number of individuals surveyed:
[tex]\[
\text{Probability of coffee drinker} = \frac{160}{500} = 0.32
\][/tex]
- Probability of Selecting a Scone Eater:
- This is calculated by dividing the total number of scone eaters by the total number of individuals surveyed:
[tex]\[
\text{Probability of scone eater} = \frac{180}{500} = 0.36
\][/tex]
- Probability of Selecting Someone Who Takes Both Coffee and Scone:
- This is determined by dividing the number of individuals who both drink coffee and eat scones by the total number of individuals surveyed:
[tex]\[
\text{Probability of both coffee and scone} = \frac{40}{500} = 0.08
\][/tex]
By following these steps, we arrive at the probabilities:
- 0.32 for coffee drinkers,
- 0.36 for scone eaters,
- and 0.08 for those who enjoy both coffee and scones.
Thank you for reading the article The table below shows the results of the survey displaying the counts for each column and row in the given table Coffee Scone Tea Total. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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Rewritten by : Jeany
