A local shopping mall loans out baby strollers to shoppers in order to enable shoppers with young children to have a better shopping experience. Due to limited space available at the concierge counter where the baby strollers are loaned and returned, it could only hold 3 baby strollers. The mall management conducts a simulation study to further understand the stroller's utilization. The time between successive arrivals of shoppers seeking to loan the baby stroller at the concierge is as shown in Table 4-1. The probability of stroller usage time is given in Table 4-2. Assume that the concierge counter opens at 11:00 A.M. and the first arrival is after this, based on the first inter-arrival time generated.

Table 4-1 Time Between Probability Arrivals (in minutes) 15 0.3 30 0.3 45 0.2 60 0.2 Table 4-2 Usage Time Probability (in minutes) 30 0.4 60 0.3 90 0.2 120 0.1