Question: Prove that for the M / M / 1 / K system that the utilization is given by: 1 - 1 - rho / 1

Prove that for the M/M/1/K system that the utilization is given by: 1-1- rho/1- rho^k+1 rho notequalto 1 where K is the system capacity rho is the load factor = lambda/mu and lambda and mu are the arrival and service rates respectively. PTO

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