Assessment: Test Calculated Numeric. Solve this problem.

The university library has one copying machine for the students to use. Students arrive at the machine with the distribution of interarrival times shown in Table A$.$ The time to make a copy is uniformly distributed over the range $16,25$ seconds. Analysis of past data has shown that the number of copies a student makes during a visit has the distribution in Table B$.$ The librarian feels that under the present system, the lines in front of the copying machine are too long and that the time a student spends in the system $($waiting time $+$ service time$)$ is excessive. Develop a simulation model to estimate the average length of the waiting line and the expected waiting time in the system.

$\backslash$table$[[\backslash$table$[[$Number$],[$of No$-$Shows$]],$Probabilitt$],[0,\mathrm{.}10],[1,\mathrm{.}20],[2,\mathrm{.}25],[3,\mathrm{.}30],[4,\mathrm{.}10],[5,\mathrm{.}05]]$

$\backslash$table$[[$TABLE B B$,],[\backslash$table$[[$Interarrival Time$],[($minutes$)]],$Probability$],[1,\mathrm{.}20],[2,\mathrm{.}25],[3,\mathrm{.}40],[4,\mathrm{.}10],[5,\mathrm{.}05]]$