You are the owner of a food truck that sells smashburgers. Customers arrive according to a homo$-$ geneous Poisson process $($P$1)$ with a rate $\backslash$lambda b $=15$ customers$/$hour$.$ One order is processed at a time. The food$-$truck is open from $8$ am to $1$ am$.$ The owner would like to analyze different situations that may happen, so he asks you to build a simulation of the selling process at the truck.

$($A$)(1$ mark$)$ Generate an array Arrayb representing possible arrival times of customers in a day. Let Nb$($t$)$ the number of arrivals before time t$.$ Calculate Nb$($t$),$ the average number of arrivals per

t

time unit, for t $=6,12,14$ hours. Do the results confirm that limt$->\backslash$infty Nb$($t$)=\backslash$lambda b$?$