1 A- B 1 2 3 B A 2 3 Series Connection Parallel Connection Figure 1: Series and Parallel Networks (Question 6) 6. (3 points) A computer network connects two nodes A and B through intermediate nodes marked 1, 2,3. Each node i is functional with a probability p;. The network is functional if there is a path connecting A and B in which all nodes are functional. Assume that nodes are functional independent of each other. Compute the probability that: (a) the 'series network' is functional, (b) the 'parallel network' is functional, where the series and parallel networks are shown in Fig. 0