3. (30) Five independent streams of packets arrive at a node. The arrivals in each stream are Poisson with rate ?-14 p/s. For each stream, packet lengths are exponentially distributed with mean of 1000 bits. Determine ET and EN for each of the following cases. Assume infinite buffer. (Let N represent the total number of packets in the whole system, so you need to sum over all queues if there is more than one queue.) (a) The arriving streams are statistically multiplexed into a single stream that is input to a transmitter with a link rate of 100 kbps (b) The arriving streams are not multiplexed. Instead, each stream is input to a dedicated transmitter with a link rate of 20 kbps. (c) The arriving streams are statistically multiplexed into a single stream that is input to a group of five parallel transmitters each with a link rate of 20 kbps. 3. (30) Five independent streams of packets arrive at a node. The arrivals in each stream are Poisson with rate ?-14 p/s. For each stream, packet lengths are exponentially distributed with mean of 1000 bits. Determine ET and EN for each of the following cases. Assume infinite buffer. (Let N represent the total number of packets in the whole system, so you need to sum over all queues if there is more than one queue.) (a) The arriving streams are statistically multiplexed into a single stream that is input to a transmitter with a link rate of 100 kbps (b) The arriving streams are not multiplexed. Instead, each stream is input to a dedicated transmitter with a link rate of 20 kbps. (c) The arriving streams are statistically multiplexed into a single stream that is input to a group of five parallel transmitters each with a link rate of 20 kbps