In: Statistics and Probability
Alice needs to decide where to get a haircut. She has narrowed the choice down to two local hair salons – Wonderland Hair Salon (WHS) and Puzzleland Hair Salon (PHS). During busy periods, a new customer walks into WHS every 15 minutes on average, with a standard deviation of 15 minutes. At PHS, a customer walks in every hour on average, with a standard deviation of 1 hour. WHS has a staff of 4 stylists, while PHS has 1 stylist. The average service time at both salons is 30 minutes, with a standard deviation of 30 minutes. Q1. If Alice walks into WHS during a busy period, how long must she wait in line (in minutes) before she receives a haircut? (Only include the waiting time, not any service time)
Q2. What is the total average flow time (in minutes) of WHS, which includes both the waiting time and the time in service?