a$)$ John arrives at a workstation at fixed intervals of one hour. Processing time is

approximately normal and has a mean of $56$ minutes per job and a standard deviation of $4$

minutes per job. Simulate the system for $10$ jobs. Random values for processing: $0\mathrm{.}59,$

$-5\mathrm{.}67,0\mathrm{.}41,-2\mathrm{.}44,-3\mathrm{.}33,-0\mathrm{.}37,-4\mathrm{.}00,-0\mathrm{.}15,0\mathrm{.}99,-1\mathrm{.}60,-0\mathrm{.}88,0\mathrm{.}16,-2\mathrm{.}67,-3\mathrm{.}24,-4\mathrm{.}00.$

Determine operator idle time, job waiting time and percentage capacity utilization.