41 A toll road with three toll booths has an arriva te of 850 veh/h and drivers take an average of 15 econds to pay their tolls. If the arrival and departure

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Question
Explain your answer.
5.41 A toll road with three toll booths has an arrival
rate of 850 veh/h and drivers take an average of 15
seconds to pay their tolls. If the arrival and departure
times are determined to be exponentially distributed,
how would the probability of waiting in a queue change
if a fourth toll both were opened?
a) 0.088
b) 0.534
c) 0.313
d) 0.847
Transcribed Image Text:5.41 A toll road with three toll booths has an arrival rate of 850 veh/h and drivers take an average of 15 seconds to pay their tolls. If the arrival and departure times are determined to be exponentially distributed, how would the probability of waiting in a queue change if a fourth toll both were opened? a) 0.088 b) 0.534 c) 0.313 d) 0.847
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