Question: 3 9 marks Consider a computer technical support center where personnel takes calls and provide service. There are two technical support people - Able and

3 9 marks Consider a computer technical support center where personnel takes calls and provide service. There are two technical support people - Able and Baker. Able is more experienced and can provide faster service than Baker. Table 1 shows time between calls and distribution of their service times are shown in table 2 and 3 respectively. Able gets the call if both of them are idle. Estimate the following for first 6 callers: 1) Total time of service 2) Fraction of time Able was busy 3) Fraction of time Baker was busy 4) Average waiting time for customers who waited Table-1 Table-2: For Able Table-3: For Baker Time Probability Service Probability Service Probability between Time(mins) Time(mins) arrivals(mins) 2 0.25 3 0.10 1 0.10 3 0.33 4 0.20 2 0.20 4 0.22 5 0.35 3 0.30 5 0.15 6 0.20 4 0.25 6 0.05 7 0.15 5 0.15 Random numbers: 56, 08, Random numbers: 01, 31, Random numbers: 23, 47, 66, 35, 84, 77, 21 52, 39, 77,91 01, 85, 60
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