1. Which of the following would you expect the Poisson distribution to be a good
ID: 408336 • Letter: 1
Question
1. Which of the following would you expect the Poisson distribution to be a good approximation for?
Runners crossing the finish line in the Boston Marathon
Arrival times of the students in school
Arrival times of the bus to your stop at school
None of the above would the Poisson distribution be a good approximation
Runners crossing the finish line in the Boston Marathon
Arrival times of the students in school
Arrival times of the bus to your stop at school
None of the above would the Poisson distribution be a good approximation
Explanation / Answer
Correct Answer:
Runners crossing the finish line in the Boston Marathon
Explanation:
Poisson distribution is a good fit in those cases where events happen independent of each other. In the given case also, crossing the finish line by one marathon runner does not affect the probability of crossing the finish line by other runner. In a marathon race, few will cross the line early, some of the others will cross the line later and rest will also cross the line. All these events will be spread across the distribution. Thus, it is a typical example of Poisson distribution.
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