Three work stations in an assembly line require various operational times with corresponding probabilities.

Time in Minutes Station One Station $2$ Station $3$

$4\mathrm{.}25\mathrm{.}10\mathrm{.}05$

$5\mathrm{.}25\mathrm{.}30\mathrm{.}25$

$6\mathrm{.}25\mathrm{.}40\mathrm{.}25$

$7\mathrm{.}25\mathrm{.}20\mathrm{.}45$

Simulate the flow of $10$ motors through the assembly line. Make the assumption that if a unit is completed for e$.$g$.$ at station $1$ while station $2$ is busy, the operator at station $1$ will be forced to wait $($blocking$).$ When station $2$ is free to work on the output from station $1,$ then station $1$ can proceed to work on the next unit. Simulate to derive average output rate of the line.

Use the following random numbers $62890257033083524684097352569027834457923158581820$