45 total possible connections. If that network has 2) nly 5 connections, the network density is 5/45 = .111. ociologists at the University of Michigan assumed that the ensity x of a social network would follow a uniform distri- ution between 0 and 1 (Social Networks, 2010). - On average, what is the density of a randomly selected social network? What is the probability that the randomly selected net-
45 total possible connections. If that network has 2) nly 5 connections, the network density is 5/45 = .111. ociologists at the University of Michigan assumed that the ensity x of a social network would follow a uniform distri- ution between 0 and 1 (Social Networks, 2010). - On average, what is the density of a randomly selected social network? What is the probability that the randomly selected net-
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![5.14 Social network densities. Social networks involve inter-
actions (connections) between members of the network.
Sociologists define network density as the ratio of actual
network connections to the number of possible one-to-one
connections. For example, a network with 10 members has
()-
C) = 45 total possible connections. If that network has
||
only 5 connections, the network density is 5/45 = .111.
Sociologists at the University of Michigan assumed that the
density x of a social network would follow a uniform distri-
bution between 0 and 1 (Social Networks, 2010).
a. On average, what is the density of a randomly selected
social network?
b. What is the probability that the randomly selected net-
work has a density higher than .7?
c. Consider a social network with only 2 members. Explain
why the uniform model would not be a good approxi-
mation for the distribution of network density.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F325feee2-ae84-421d-99f2-9b6bc25c7d4b%2F33f46739-16dd-42a8-87fc-da6d76ed8095%2Fcl1tq1h_processed.png&w=3840&q=75)
Transcribed Image Text:5.14 Social network densities. Social networks involve inter-
actions (connections) between members of the network.
Sociologists define network density as the ratio of actual
network connections to the number of possible one-to-one
connections. For example, a network with 10 members has
()-
C) = 45 total possible connections. If that network has
||
only 5 connections, the network density is 5/45 = .111.
Sociologists at the University of Michigan assumed that the
density x of a social network would follow a uniform distri-
bution between 0 and 1 (Social Networks, 2010).
a. On average, what is the density of a randomly selected
social network?
b. What is the probability that the randomly selected net-
work has a density higher than .7?
c. Consider a social network with only 2 members. Explain
why the uniform model would not be a good approxi-
mation for the distribution of network density.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman