Forecasting the probability that 5 customers will be in the system (company)

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QUESTION
 
Pick a service provision company (e.g., DEWA, Du or ETISALAT service center at a Mall,
MacDonald, EPCO fuel station,…). For the service providing company of your choice, conduct a
survey on the number of arrivals per a specific period (e.g., per hour or every ½ an hour). This
will help you to get the average arrival rate (). Also get information on the service rate () at
each service counter, and the number of service counters () in the company your choice. MAKE
SURE TO CONDUCT YOUR SURVEY DURING THE STEADY-STATE PERIOD OF THE
COMPANY.
Once you have the above information, compile a report providing your analysis including the
following:
i. Introduction section – Providing a complete background information of the company
(your choice). Also provide information on the process your group followed to
undertake the field survey and how you calculated the average arrival rate (), the
service rate (), and the number of service counters () of the company.
ii. Following the introduction section, your analytical report should determine the
operating characteristics (performance measures) for the waiting line of the company,
including:
a. the probability that no customers are in the company (system),
b. the average number of customers in the waiting line,
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c. the average number of customers in the system (waiting + being served),
d. the average time a customer spends in the waiting line,
e. the average time a customer spends in the system,
f. the probability that an arriving customer must wait for service, and
g. forecasting the probability that 5 customers will be in the system (company)
 

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