PHILLY BARBER SHOPS

Newt Philly needs to decide where to get a haircut. He has narrowed the choice down to

two local hair salons $$ Large Hair Salon $($LHS$)$ and Small Hair Cutters $($SHC$).$

During busy periods, a new customer walks into LHS every $15$ minutes $($with a standard

deviation of $15$ minutes$).$ At SHC$,$ a customer walks in every hour $($with a standard

deviation of $1$ hour$).$ LHS has a staff of $4$ barbers, while SHC has $1$ barber. A typical

service time at either salon lasts $30$ minutes $($with a standard deviation of $30$ minutes$).$

$7.$ If Newt walks into LHS during a busy period, how long must he wait in line before he

can see a barber? $($Only include the waiting time, not any service time$)$

$8.$ If Newt goes to SHC$,$ how long must he wait in line before his haircut starts?

$9.$ Assume that it takes Newt $10$ minutes to leave work and walk to LHS and $10$ minutes

to walk back $($i$.$e$.$ each way of the walk takes $10$ minutes$).$ How long will he need to leave

work for to get a haircut at LHS and walk back to his office?