Problem 1: Erds-Rnyi Networks Consider an Erds-Rnyi network with N = 3,000 nodes, connected to each other with probability p = 10-3. What is the expected number of links, (L)? In which regime is the network? 3. Calculate the probability p. so that the network is at the critical point 4. Given the linking probability p = 10-3, calculate the number of nodes Ner so that the network has only one component. For the network in (4), calculate the average degree (ker) and the average distance between two randomly chosen nodes (d). 6. Calculate the degree distribution Pk of this network (approximate with a Poisson degree distribution)