Consider a geographical region of 100 square meters. Suppose that N nodes are randomly distributed in this region according to a uniform distribution and that each node has transmit power sufficient to communicate with any node within a distance of R meters. Compute the average number of nodes E[N ] as a function of radius R, 1 ≤ R ≤ 20, required for the network to be fully connected. The average E[N ] should be computed based on 100 samples of the random node placement within the region.