Suppose we have the social network depicted in Figure 7; suppose that each node starts with the behavior B, and each node has a threshold of q 2/5 for switching to behavior A. (a) Now, let c and d form a two-node set S of initial adopters of behavior A. If other nodes 8. follow the threshold rule for choosing behaviors, which nodes will eventually switch to A? Give a brief (1-2 sentence) explanation for your answer. (b) Find a cluster of density greater than 1 -q 3/5 in the part of the graph outside S that blocks behavior A from spreading to all nodes, starting from S, at threshold q. Give a brief (1-2 sentence) explanation for your answer. (c) Suppose you were allowed to add a single edge to the given network, connecting one of nodes c or d to any one node that it is not currently connected to. Could you do this in such a way that now behavior A, starting from S and spreading with a threshold of 2/5, woulo reach all nodes? Give a brief explanation for your answer. 9 Figure 7