Data from 14 cities were combined for a 20-year period, and the total 280 city-years included a total of 112homicides. 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 a. P(0)= (Round to four decimal places as needed.) b. P(1)= (Round to four decimal places as needed.) c. P(2)= (Round to four decimal places as needed.)
Data from 14 cities were combined for a 20-year period, and the total 280 city-years included a total of 112homicides. 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 a. P(0)= (Round to four decimal places as needed.) b. P(1)= (Round to four decimal places as needed.) c. P(2)= (Round to four decimal places as needed.)
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 112homicides. 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
|
|
a. P(0)=
(Round to four decimal places as needed.)
b. P(1)=
(Round to four decimal places as needed.)
c. P(2)=
(Round to four decimal places as needed.)
d. P(3)=
(Round to four decimal places as needed.)
e. P(4)=
(Round to four decimal places as needed.)
The actual results consisted of
187 city-years with 0 homicides;
76 city-years with one homicide;
15 city-years with two homicides;
2 city-years with three homicides;
0 city-years with four homicides.
Compare the actual results to those expected by using the Poisson probabilities. Does the Poisson distribution serve as a good tool for predicting the actual results?
No, the results from the Poisson distribution probabilities do not match the actual results.
Yes, the results from the Poisson distribution probabilities closely match the actual results (YES?)
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