17 Smalltown has two ambulances. Ambulance 1 is based at the local college, and ambulance 2 is based downtown. If a request for an ambulance comes from the college, the collegebased ambulance is sent if it is available. Otherwise, the downtown-based ambulance is sent (if available). If no ambulance is available, the call is assumed to be lost to the system. If a request for an ambulance comes from anywhere else in the town, the downtown-based ambulance is sent if it is available. Otherwise, the college-based ambulance is sent if available. If no ambulance is available, the call is considered lost to the system. The time between calls is exponentially distributed. An average of 3 calls per hour are received from the college, and an average of 4 calls per hour are received from the rest of the town. The average time (exponentially distributed) it takes an ambulance to respond to a call and be ready to respond to another call is shown in Table 13.

a What fraction of the time is the downtown ambulance busy?

b What fraction of the time is the college ambulance busy?

c What fraction of all calls will be lost to the system?

d On the average, who waits longer for an ambulance, a college student or a town person?

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TABLE 13 Ambulance Comes From Ambulance Goes to College Noncollege College Downtown 4 minutes 7 minutes 5 minutes 4 minutes