Steve 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).
Q1. If Newt walks into LHS during a busy period, how long (in minutes) must he wait in line before he can see a barber? (Only include the waiting time, not any service time)
Q2. How many customers, on average will be in LHS, including both waiting in line and being served?
Q3. If Newt goes to SHC, how long (in minutes) must he wait in line before his haircut starts?