Data from 14 cities were combined for a 20-year period, and the total 280 city-years included a total of 153 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: 0, 1, 2, 3 ,4 Actual results: 162, 89, 24, 4, 1 P(0)= P(1)= P(2)= P(3)= P(4)= Does the Poisson distribution serve as a good tool for predicting the actual results?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Data from 14 cities were combined for a 20-year period, and the total 280 city-years included a total of 153 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: 0, 1, 2, 3 ,4 Actual results: 162, 89, 24, 4, 1 P(0)= P(1)= P(2)= P(3)= P(4)= Does the Poisson distribution serve as a good tool for predicting the actual results?
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