Question: 1. A hotel clerk takes, on average, my = 3 min to attend to a single customer. Assuming that customers arrive at the clerk desk with average rate of λ = 0.1 customer/min, determine the period of time the clerk is idle.
2. Consider a transmission system where the packet transmission along the line takes a random time, with uniform distribution in the interval [1, 1000] Knowing, that the mean waiting time in a queue is mw = 500 and that, on average, there are mq = 0.2 packets in the waiting buffer, determine:
a) The mean number of packets in the system.
b) The period of time the line is engaged.