8. Drake Airport services rural, suburban, and transit passengers. The arrival distribution for each of the three
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8. Drake Airport services rural, suburban, and transit passengers. The arrival distribution for each of the three groups is Poisson with mean rates of 15, 10, and 20 passengers per hour, respectively. The time to check in a passenger is exponential with mean 6 minutes.
Determine the number of counters that should be provided at Drake under each of the following conditions:
(a) The total average time to check a customer in is less than 15 minutes.
(b) The percentage of idleness of the counters does not exceed 10%.
(c) The probability that all counters are idle does not exceed .01.
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