sketch a 5-input, 3-output switching element. time is slotted and synchronized for inputs. One slot holds at most one packet. A packet arrival processes to each input are Bernoulli (with arrival...

Extracted text: sketch a 5-input, 3-output switching element. time is slotted and synchronized for inputs. One slot holds at most one packet. A packet arrival processes to each input are Bernoulli (with arrival probability p for a packet in each slot and non arrival probability 1-p in each slot) (a) write an expression for the probability of one or more arrivals in a slot. (b) find the throughput at the output (c) write an expression for the probability in a slot that the top 3 inputs have packets and the bottom 2 doesn't have a packet. (d) for what values of p is the probability of 2 arrivals at the input greater than the probability of ine arrival at the inputs?