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In: Statistics and Probability

Geo stats question: 2)Drivers wishing to turn left at a particular intersection arrive at an average...

Geo stats question:

2)Drivers wishing to turn left at a particular intersection arrive at an average rate of five per minute. (i) if the left-turn arrow is red for 30 seconds, and there is room in the left-turn lane for five cars, what is the probability that the capacity of the lane will be exceeded for a given cycle of the signal? (ii) Given that transportation planners and traffic engineers wish to reduce the probability to less then 0.05 by shortening the length of the red signal, how would you determine the maximal time the signal could remain red?

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