Fast Shop Market is a convenience store and its customers purchase few items and expect quick service. Fast Shop Market has one checkout counter and one employee who operates the cash register at the checkout counter. On average, a customer arrives every 2.5 minutes at the store (assume that arrivals follow a Poisson distribution). 30 customers can be checked out (served) per hour (assume that service rate follows an Exponential distribution). What is the average number of customers in the waiting line? A. 3.2 B. 6 C. 4 D. 1.25 E. 12
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The arrival rate (λ) is the number of customers arriving per minute. Since a customer arrives every 2.5 minutes, the arrival rate is: λ = 1 / 2.5 = 0.4 customers per minute The service rate (μ) is the number of customers that can be checked out per minute. Show more…
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