Note: This is a practice problem.  Data from 14 cities were combined for a​ 20-year period, and the total 280 city-years included a total of 112 homicides. After finding the mean number of homicides per​ city-year, find the probability that a randomly selected​ city-year has the following numbers of​ homicides, then compare the actual results to those expected by using the Poisson​ probabilities:

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Note: This is a practice problem. 

Data from 14 cities were combined for a​ 20-year period, and the total 280 city-years included a total of 112 homicides. After finding the mean number of homicides per​ city-year, find the probability that a randomly selected​ city-year has the following numbers of​ homicides, then compare the actual results to those expected by using the Poisson​ probabilities:
 
Homicides each​ city-year
a. 0
b. 1
c. 2
d. 3
e. 4
 
Actual results
187
76
15
2
0
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