Customers enter the waiting line to pay for food as they leave a cafeteria on a first-come,...
Question:
Customers enter the waiting line to pay for food as they leave a cafeteria on a first-come, first-served basis. The arrival rate follows a Poisson distribution, while service times follow an exponential distribution. If the average is four per minute and the average service rate of a single server is seven per minute, what proportion of the time is the server busy?
a. 0.43
b. 0.57
c. 0.75
d. 0.25
e. 0.33
Service rate:
The pace of service or service availability in a firm is determined by the service rate, a performance statistic used in operations. It refers to the system's rate of serving clients.
Answer and Explanation: 1
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View this answerOption 'b' is the correct answer.
Computation of the proportion of time where the service is busy:
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