1. The manager of a small post office is concerned that the growing township is overloading the one- window service being offered. Sample data are collected on 100 individuals who arrive for service. Time between Frequency Service time Frequency arrivals (Minutes) (Minutes) 1 8 1 12 2 35 1.5 21 3 34 2 36 4 17 2.5 19 5 6 3 7 Total 100 3.5 5 Total 100 Using the provided (in the Excel file) random number sequence, simulate six arrivals; estimate the average customer waiting time and the average idle time for clerks. probably Random Probability Number intervals probability Random Probability Number intervals Time between arrivals minutes) 1 2 3 4 5 Service Time (minutes) 1 1.5 2 2.5 3 3.5 Interarrival Itime Arrival time Service begins Service time Service ends Waiting time idle time Customer number 1 2 Idle time Average customer Average idle time waiting time for clerks Random Number 8 24 45 31 45 10 Random Number 74 34 86 32 21 67 3 4 5 6