The arrival times of vehicles at the ticket gate of a sports stadium may be assumed to be Poisson with a mean of 30 veh/h. It takes an average of 1.5 min for the necessary tickets to be bought for occupants of each car. (a) What is the expected length of queue at the ticket gate, not including the vehicle being served? (b) What is the probability that there are no more than 5 cars at the gate, including the vehicle being served? (c) What will be the average waiting time of a vehicle?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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The arrival times of vehicles at the ticket gate of a sports stadium may be assumed to
be Poisson with a mean of 30 veh/h. It takes an average of 1.5 min for the necessary
tickets to be bought for occupants of each car.
6-23
(a) What is the expected length of queue at the ticket gate, not including the vehicle
being served?
(b) What is the probability that there are no more than 5 cars at the gate, including
the vehicle being served?
(c) What will be the average waiting time of a vehicle?
Transcribed Image Text:The arrival times of vehicles at the ticket gate of a sports stadium may be assumed to be Poisson with a mean of 30 veh/h. It takes an average of 1.5 min for the necessary tickets to be bought for occupants of each car. 6-23 (a) What is the expected length of queue at the ticket gate, not including the vehicle being served? (b) What is the probability that there are no more than 5 cars at the gate, including the vehicle being served? (c) What will be the average waiting time of a vehicle?
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