generate a random graph with N = 10 nodes and set the probability of an edge (for any pair of nodes) to p = 1/3, i.e. generate a sample from the family of random graphs denoted by G(10,1/3 }).

(a) What is the total number of edges in your graph?

(b) Let L be a random variable representing the total number of edges in a random graph from G(10, 1/3). What distribution does L have?

(c) How many other students doing this test will get the same answer for part a) that you did? (There are ~ 360 students.)

12 marks