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. DATA FACEBOOK 46 24 23 23 50 INSTAGRAM 2 TWITTER 37 17 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). 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).
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. DATA FACEBOOK 46 24 23 23 50 INSTAGRAM 2 TWITTER 37 17 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). 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).
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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![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]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffa413bcf-f4d4-4563-8c5c-bfbbe2a7d62c%2F476266d8-b070-47e0-83f1-b45be7b31513%2Fscu15nh_processed.png&w=3840&q=75)
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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