Customers in a Small Retail Store Arrive at the Single

question 38

Essay

Customers in a small retail store arrive at the single cashier at the rate of 10 per hour. The average service time for the cashier is five minutes. Arrivals tend to follow a Poisson distribution, and service times follow an exponential distribution.
a. What is the average utilization of the cashier?
b. What is the average number of customers in the system?
c. What is the average number of customers in line?
d. What is the average time spent in the system?
e. What is the average time spent in line?

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Definitions:

Evolving

The process by which species undergo gradual change over time through variations and natural selection.

Taxonomy

Branch of biology concerned with identifying, describing, and naming organisms.

Systemic Biology

An interdisciplinary field that focuses on the interactions and behavior of complex systems within biology, ranging from ecosystems to cellular networks.

Evolutionary Relatedness

The degree to which species share common ancestors and exhibit similarities in their genetic makeup and physical traits.