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?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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  1. 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

  1. What is the mean and standard deviation of the number of pedestrians waiting to cross?
  2. What is the probability that nobody is waiting to cross?
  3. What is the probability that nobody crosses during the entire one minute Walk cycle?
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9780547587776
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