Imagine a hypothetical future in which we have geolocation data on all people in a city and complete access to their medical records. For this example, the total number of hospital visits in the city in the past year was 104,000 and the city is 20,000 hectares in size. Assume that the individuals who go to the hospital are randomly distributed around the city (i.e., the Poisson distribution can be used for the questions below). (provide all values to the nearest 0.0001 and be cautious about rounding error) If we randomly choose an hectare in the city, what is the probability that none of the people in that region went to the hospital in the past year? If we randomly choose an hectare in the city, what is the probability that one of the people in that region went to the hospital in the past year? If we randomly choose an hectare in the city, what is the probability that either two or three people in that region went to the hospital in the past year?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Imagine a hypothetical future in which we have geolocation data on all people in a city and complete access to their medical records. For this example, the total number of hospital visits in the city in the past year was 104,000 and the city is 20,000 hectares in size. Assume that the individuals who go to the hospital are randomly distributed around the city (i.e., the Poisson distribution can be used for the questions below). 

(provide all values to the nearest 0.0001 and be cautious about rounding error)

If we randomly choose an hectare in the city, what is the probability that none of the people in that region went to the hospital in the past year?

If we randomly choose an hectare in the city, what is the probability that one of the people in that region went to the hospital in the past year?

If we randomly choose an hectare in the city, what is the probability that either two or three people in that region went to the hospital in the past year?

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X is a discrete random variable that has a Poisson distribution with probability mass function f(x). The probability mass function of X is given by

fx=e-kkxx!,x=0,1,2,...

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