Reference no: EM132153195
1. A manager is trying to improve a single-server queueing system through automation. The average service time is 20 minutes per customer, exponentially distributed, and the arrival rate is 16 customers per 8-hour day (Poisson arrivals). The automated system will have a constant service time of 16 minutes. The effect of this change will:
1) decrease utilization.
2) increase waiting time.
3) decrease waiting time.
4) have no effect since the service time is unchanged.
2. The local grocery store consists of two cashiers. The customers arrive at the checkout according to the Poisson distribution and the service times are based on negative exponential distribution. The average customer service time is 4 minutes and the average time between the arrivals of successive customers is 3 minutes. Assume that customers equally divide themselves between the two cashiers.
What is the probability that there are no customers in the grocery store?
1) .667
2) .5
3) .166
4) .333
3. At Joe's Pool Hall they rent tables by the hour and also rent Balabushka pool cues for purists that can't afford their own. The rental process for these cues is exhaustive and takes an hour and a half for each application. There are three leasing agents that conduct these interviews, and on average, it is one hour between customer arrivals.
What is the likelihood there are more than three customers in the system?
1) 24%
2) 76%
3) 12%
4) 88%