Questions
Multiple fill-in-the-blank
The customer service desk at Joe’s Discount Electronics store receives 5 customers per hour on average. On average, each customer requires 10 minutes for service. The customer service desk is staffed by a single clerk.[Fill in the blank] Determine the Arrival rate and the Service rate. (1 mark)[Fill in the blank] What is the average time a customer spends in the customer service area? (1 mark)[Fill in the blank] What is the probability that the customer service clerk takes more than 10minutes? (1 mark)[Fill in the blank] What is the average number of customers in the queue? (1 mark)[Fill in the blank] What is the probability that there are less than 5 customers arriving in an hour? (2 marks)[Fill in the blank]
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Step-by-Step Analysis
We start by identifying the given data and the appropriate queuing formulas for an M/M/1 system (single server, Poisson arrivals, exponential service):
- Arrival rate lambda = 5 customers per hour.
- Service rate mu = 1 service per 10 minutes = 6 per hour.
Option-by-option analysis:
- Option: Arrival rate and Service rate as the fill-in
This aligns with the given problem data: the arrival rate is 5 per hour and the service rate is 6 per hour, since each customer requires 10 minutes of service on average. No cont......Login to view full explanationLog in for full answers
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