# Question: Social networks involve interactions connections between members of the network

Social networks involve interactions (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 (10 2) = 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 distribution 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 approximation for the distribution of network density.

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 approximation for the distribution of network density.

## Answer to relevant Questions

A bus is scheduled to stop at a certain bus stop every half hour on the hour and the half hour. At the end of the day, buses still stop after every 30 minutes, but because delays often occur earlier in the day, the bus is ...Suppose the random variable x is best described by a normal distribution with μ = 25 and σ = 5. Find the z -score that corresponds to each of the following x values: a. x = 25 b. x = 30 c. x = 37.5 d. x = 10 e. x = 50 ...When attempting to score a goal in soccer, where should you aim your shot? Should you aim for a goalpost (as some soccer coaches teach), the middle of the goal, or some other target? To answer these questions, Chance (Fall ...Examine the following sample data saved in the LM5_59 file. a. Construct a stem-and-leaf plot to assess whether the data are from an approximately normal distribution. b. Find the values of QL, QU, and s for the sample ...Assume that x is a binomial random variable with n and p as specified in parts a–f that follows. For which cases would it be appropriate to use a normal distribution to approximate the binomial distribution? a. n = 100, p ...Post your question