5.14 Social network densities. Social networks involve inter actions {connections} between members of the network. Sociologists dene network density as the ratio of actual network connections to the number of possible onetoone oonnections. For example, a network with ll] members has (1:) = 45 total possible connections. If that network has only 5 connections. the network density is EMS = .111. Sociologists at the University of Michigan assumed that the density): of a social network would follow a uniform distri bution between I] and 1 {Social Nenvorks, EDIE). a. D11 average, what is the density of a randomly selected social network? I]. 1What is the probability that the randomly selected net work has a density higher than .T? 1:. 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