A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Question
Consider the following Venn Diagram, which was constructed based on the data from a survey of 222 UNLV students about whether or not they had any of the three social media accounts.

[Image: Venn Diagram showing the distribution of social media accounts among UNLV students]

**Venn Diagram Explanation:**

- **Facebook:** 
  - Total with Facebook accounts: 46
  - Facebook and Instagram only: 23
  - Facebook and Twitter only: 24
  - All three accounts (Facebook, Instagram, Twitter): 2
- **Instagram:**
  - Total with Instagram accounts: 50
  - Instagram and Facebook only: 23
  - Instagram and Twitter only: 23
  - All three accounts (Facebook, Instagram, Twitter): 2
- **Twitter:**
  - Total with Twitter accounts: 37
  - Twitter and Facebook only: 24
  - Twitter and Instagram only: 23
  - All three accounts (Facebook, Instagram, Twitter): 2
- **Only Instagram:** 17

**Questions:**

a) What is the probability that a UNLV student **has a Facebook account, but not a Twitter account**?  
(Round your answer to four decimal places before entering in the box below).

[Input Box]

b) What is the probability that a UNLV student **has both Instagram AND Twitter accounts, but not a Facebook account**?  
(Round your answer to four decimal places before entering in the box below).

[Input Box]
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Transcribed Image Text:Consider the following Venn Diagram, which was constructed based on the data from a survey of 222 UNLV students about whether or not they had any of the three social media accounts. [Image: Venn Diagram showing the distribution of social media accounts among UNLV students] **Venn Diagram Explanation:** - **Facebook:** - Total with Facebook accounts: 46 - Facebook and Instagram only: 23 - Facebook and Twitter only: 24 - All three accounts (Facebook, Instagram, Twitter): 2 - **Instagram:** - Total with Instagram accounts: 50 - Instagram and Facebook only: 23 - Instagram and Twitter only: 23 - All three accounts (Facebook, Instagram, Twitter): 2 - **Twitter:** - Total with Twitter accounts: 37 - Twitter and Facebook only: 24 - Twitter and Instagram only: 23 - All three accounts (Facebook, Instagram, Twitter): 2 - **Only Instagram:** 17 **Questions:** a) What is the probability that a UNLV student **has a Facebook account, but not a Twitter account**? (Round your answer to four decimal places before entering in the box below). [Input Box] b) What is the probability that a UNLV student **has both Instagram AND Twitter accounts, but not a Facebook account**? (Round your answer to four decimal places before entering in the box below). [Input Box]
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