| M / M / 1 EXAMPLE (Continued) | 8 | ||||||||||||
| A car wash can serve 50 vehicles in an hour. | |||||||||||||
| During the peak Saturday hour, 40 vehicles arrive. | |||||||||||||
| Assume both arrivals and service times are random. | |||||||||||||
| D. What is the probability that we have 1 car in the wash and 8 waiting in line? | |||||||||||||
| n= | 1 + 8 = | 9 | |||||||||||
| pn = | (1- r)rn = | 0.027 | |||||||||||
| Let's assume that we have 200 feet of storage, so than n=9 vehicles this forces a car into the street. | |||||||||||||
| E. During the peak hour, how much time would we expect the street to be blocked? | |||||||||||||
| Time Blocked = | pn x 60 minutes = | 1.6 | minutes | ||||||||||