Table $12-5$

$\backslash$table$[[$M$/$D$/1,],[$Mean Arrival Rate:,$5$ occurrences per minute$],[$Constant Service Rate:,$7$ occurrences per minute$],[$Queue Statistics:,$],[$Mean Number of Units in the System:,$1\mathrm{.}607],[$Mean Number of Units in the Queue:,$0\mathrm{.}893],[$Mean Time in the System:,$0\mathrm{.}321$ minutes$],[$Mean Time in the Queue:,$0\mathrm{.}179$ minutes$],[$Service Facility Utilization Factor:,$0\mathrm{.}714]]$

According to the information provided in Table $12-5,$ which presents the solution for a queuing problem with a constant service rate, the probability that the server is idle is

$0\mathrm{.}714$

$10\mathrm{.}286$

$0\mathrm{.}217$

$0\mathrm{.}643$