A router with 3 CPUs routs packets in some network. It is expected that packets will arrive at a rate of 2500 per minute, according to a Poisson distribution. The service rate for each of the three CPUs is 1000 packets per minute, with exponential service times. Calculate the following operating characteristics of the router service system: (a) The average utilization of each CPU. (b) The probability that there are no packets in the router. (c) The average number of packets waiting in the routing queue. (d) The average time a student packets waiting for the router queue