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 that there are more than 3 customers in the queuing system, The time a customer should

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 33E: Sick leave probability that a given worker at Dyno Nutrition Will call in sick on a Monday is 004....
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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 that there are more than 3 customers in the queuing system,
  2. The time a customer should spend in queue,
  3. The time a customer spends before leaving the bank counter.
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