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Customers arrive at a bank counter manned by a single cashier according to Poisson distribution with mean arrival rate 6 customers/hour. The cashier attends the customers on first come first serve basis at an average rate of 10 customers/hour with the service time exponentially distributed. Find The probability of the number of arrivals (0 through 5) during (i) 15-minute interval, (ii) 30-minute interval The probability that the queuing system is idle, The probability associated with the number of customers (0 through 5) in the queuing system

Customers arrive at a bank counter manned by a single cashier according to Poisson distribution with mean arrival rate 6 customers/hour. The cashier attends the customers on first come first serve basis at an average rate of 10 customers/hour with the service time exponentially distributed. Find The probability of the number of arrivals (0 through 5) during (i) 15-minute interval, (ii) 30-minute interval The probability that the queuing system is idle, The probability associated with the number of customers (0 through 5) in the queuing system

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Customers arrive at a bank counter manned by a single cashier according to Poisson distribution with mean arrival rate 6 customers/hour. The cashier attends the customers on first come first serve basis at an average rate of 10 customers/hour with the service time exponentially distributed. Find

  1. The probability of the number of arrivals (0 through 5) during (i) 15-minute interval, (ii) 30-minute interval
  2. The probability that the queuing system is idle,
  3. The probability associated with the number of customers (0 through 5) in the queuing system
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