Pedestrians arrive at a street crossing according to a Poisson process at a rate of 4 per minute. A traffic light alternates between two states with durations shown below:Don’t Walk 2 minutes Walk 1 minuteWhat is the mean and standard deviation of the number of pedestrians waiting to cross?What is the probability that nobody is waiting to cross?What is the probability that nobody crosses during the entire one minute Walk cycle?

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What is the mean and standard deviation of the number of pedestrians waiting to cross? What is the probability that nobody is waiting to cross? What is the probability that nobody crosses during the entire one minute Walk cycle?

What is the mean and standard deviation of the number of pedestrians waiting to cross? What is the probability that nobody is waiting to cross? What is the probability that nobody crosses during the entire one minute Walk cycle?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Pedestrians arrive at a street crossing according to a Poisson process at a rate of 4 per minute. A traffic light alternates between two states with durations shown below:

Don’t Walk 2 minutes

Walk 1 minute

What is the mean and standard deviation of the number of pedestrians waiting to cross?
What is the probability that nobody is waiting to cross?
What is the probability that nobody crosses during the entire one minute Walk cycle?

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