Q$1$: The table below gives data on accepted and rejected gaps for vehicles on a minor road. If the arrival of major road vehicles can be described by the Poisson distribution and the peak hour volume is $\backslash (2100\backslash$mathrm$\{$veh$\}/\backslash$mathrm$\{$h$\}\backslash ),$

Determine the number of accepted gaps that will be available for minor road vehicles during the peak hour.

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|\}$

$\backslash$hline Gap $($sec$)$ & $\backslash$begin$\{$tabular$\}\{$c$\}$

Number of rejected $\backslash \backslash$

gaps $\backslash (>\backslash$mathbf$\{$t$\}\backslash )$

$\backslash$end$\{$tabular$\}$ & $\backslash$begin$\{$tabular$\}\{$c$\}$

Number of accepted $\backslash \backslash$

gaps $\backslash (<mi>\backslash </mi>$mathbf$\{$t$\}\backslash )$

$\backslash$end$\{$tabular$\}\backslash \backslash$

$\backslash$hline $1$ & $35$ & $3\backslash \backslash$

$\backslash$hline $2$ & $30$ & $18\backslash \backslash$

$\backslash$hline $3$ & $24$ & $24\backslash \backslash$

$\backslash$hline $4$ & $18$ & $30\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$