An internet research company surveyed 85 online shoppers, each of whom made one purchase today. The company recorded the type of purchase each shopper made. Here is a summary. Type of purchase Number of shoppers Office supplies 23 Toys 26 Pet supplies 25 Food 11 Three shoppers from the survey are selected at random, one at a time without replacement. What is the probability that the first two shoppers purchased toys and the third purchased pet supplies? Do not round your intermediate computations. Round your final answer to three decimal places.
An internet research company surveyed 85 online shoppers, each of whom made one purchase today. The company recorded the type of purchase each shopper made. Here is a summary. Type of purchase Number of shoppers Office supplies 23 Toys 26 Pet supplies 25 Food 11 Three shoppers from the survey are selected at random, one at a time without replacement. What is the probability that the first two shoppers purchased toys and the third purchased pet supplies? Do not round your intermediate computations. Round your final answer to three decimal places.
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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![### Internet Research Company Survey Summary
An internet research company surveyed 85 online shoppers, each of whom made one purchase today. The company recorded the type of purchase each shopper made. Here is a summary of their findings:
#### Purchase Summary:
| Type of Purchase | Number of Shoppers |
|--------------------|--------------------|
| Office supplies | 23 |
| Toys | 26 |
| Pet supplies | 25 |
| Food | 11 |
Three shoppers from the survey are selected at random, one at a time without replacement. What is the probability that the first two shoppers purchased toys and the third purchased pet supplies?
(Note: Do not round your intermediate computations. Round your final answer to three decimal places.)
### Problem Breakdown:
- **Calculate individual probabilities:**
- Probability for the first shopper to buy toys.
- Probability for the second shopper to buy toys, given the first shopper bought toys.
- Probability for the third shopper to buy pet supplies, given the first two shoppers bought toys.
- **Combine the probabilities:**
- Use the multiplication rule for independent events to find the combined probability of the sequence of events described.
Use the input box below to enter your calculations and get the solutions:
[Calculation Input Box]
**Note:** This exercise is to practice probability calculations and statistical analysis based on given data in a real-world scenario.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F424746dd-29d3-476a-868c-5a06ada19580%2F25033fcd-41cd-4364-92d7-d19b7fa9daa8%2Fb5ttf2r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Internet Research Company Survey Summary
An internet research company surveyed 85 online shoppers, each of whom made one purchase today. The company recorded the type of purchase each shopper made. Here is a summary of their findings:
#### Purchase Summary:
| Type of Purchase | Number of Shoppers |
|--------------------|--------------------|
| Office supplies | 23 |
| Toys | 26 |
| Pet supplies | 25 |
| Food | 11 |
Three shoppers from the survey are selected at random, one at a time without replacement. What is the probability that the first two shoppers purchased toys and the third purchased pet supplies?
(Note: Do not round your intermediate computations. Round your final answer to three decimal places.)
### Problem Breakdown:
- **Calculate individual probabilities:**
- Probability for the first shopper to buy toys.
- Probability for the second shopper to buy toys, given the first shopper bought toys.
- Probability for the third shopper to buy pet supplies, given the first two shoppers bought toys.
- **Combine the probabilities:**
- Use the multiplication rule for independent events to find the combined probability of the sequence of events described.
Use the input box below to enter your calculations and get the solutions:
[Calculation Input Box]
**Note:** This exercise is to practice probability calculations and statistical analysis based on given data in a real-world scenario.
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