A survey of online shoppers showed that 2% of shoppers visited toolsRus.com during a one month period, while 5% of online shoppers visited at least one of toolsRus.com’s competitors: QuickTools.com and HandyTool.com. Assume that visiting toolsRus.com was independent of visiting a competitor.9. Draw a Venn Diagram to show the probabilities.10. If the shopper visited toolsRus.com, what is the probability that they would visit at least one of their competitors?11. What percentage of shoppers visited bot toolsRus.com and at least one of their competitors?12. What percentage of shoppers visited neither toolsRus.com nor one of its competitors? **Survey of Online Shoppers Analysis**A survey of online shoppers indicated the following:- **2%** of shoppers visited toolsRus.com during a one-month period.- **5%** of shoppers visited at least one of toolsRus.com's competitors: QuickTools.com and HandyTool.com.- It is assumed that visiting toolsRus.com is independent of visiting a competitor.**Questions & Exercises:**9. **Draw a Venn Diagram** to show the probabilities. - Create two overlapping circles: one for toolsRus.com and one for its competitors. Label the probabilities of visiting each site and the overlapping section, representing visits to both.10. **If a shopper visited toolsRus.com, what is the probability that they would visit at least one of their competitors?** - This requires calculating the probability of visiting competitors given a visit to toolsRus.com.11. **What percentage of shoppers visited both toolsRus.com and at least one of their competitors?** - Calculate the intersection of visitors to toolsRus.com and its competitors.12. **What percentage of shoppers visited neither toolsRus.com nor one of its competitors?** - Determine the percentage of shoppers not visiting either site. **Concepts:**- **Venn Diagram**: A visual tool to represent probabilities and intersections.- **Independence**: Assumes that visiting one site does not affect the probability of visiting another.

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A survey of online shoppers showed that 2% of shoppers visited toolsRus.com during a one month period, while 5% of online shoppers visited at least one of toolsRus.com’s competitors: QuickTools.com and HandyTool.com. Assume that visiting toolsRus.com was independent of visiting a competitor. 9. Draw a Venn Diagram to show the probabilities. 10. If the shopper visited toolsRus.com, what is the probability that they would visit at least one of their competitors? 11. What percentage of shoppers visited bot toolsRus.com and at least one of their competitors? 12. What percentag

A survey of online shoppers showed that 2% of shoppers visited toolsRus.com during a one month period, while 5% of online shoppers visited at least one of toolsRus.com’s competitors: QuickTools.com and HandyTool.com. Assume that visiting toolsRus.com was independent of visiting a competitor. 9. Draw a Venn Diagram to show the probabilities. 10. If the shopper visited toolsRus.com, what is the probability that they would visit at least one of their competitors? 11. What percentage of shoppers visited bot toolsRus.com and at least one of their competitors? 12. What percentag

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

9. Draw a Venn Diagram to show the probabilities.

10. If the shopper visited toolsRus.com, what is the probability that they would visit at least one of their competitors?

11. What percentage of shoppers visited bot toolsRus.com and at least one of their competitors?

12. What percentage of shoppers visited neither toolsRus.com nor one of its competitors?

**Survey of Online Shoppers Analysis**

A survey of online shoppers indicated the following:

- **2%** of shoppers visited toolsRus.com during a one-month period.
- **5%** of shoppers visited at least one of toolsRus.com's competitors: QuickTools.com and HandyTool.com.
- It is assumed that visiting toolsRus.com is independent of visiting a competitor.

**Questions & Exercises:**

9. **Draw a Venn Diagram** to show the probabilities.
- Create two overlapping circles: one for toolsRus.com and one for its competitors. Label the probabilities of visiting each site and the overlapping section, representing visits to both.

10. **If a shopper visited toolsRus.com, what is the probability that they would visit at least one of their competitors?**
- This requires calculating the probability of visiting competitors given a visit to toolsRus.com.

11. **What percentage of shoppers visited both toolsRus.com and at least one of their competitors?**
- Calculate the intersection of visitors to toolsRus.com and its competitors.

12. **What percentage of shoppers visited neither toolsRus.com nor one of its competitors?**
- Determine the percentage of shoppers not visiting either site.

**Concepts:**
- **Venn Diagram**: A visual tool to represent probabilities and intersections.
- **Independence**: Assumes that visiting one site does not affect the probability of visiting another.

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