MATH125: Unit 4 Individual Project
Counting Techniques and Introduction to Probability

^{1} Total number of murders for which supplemental homicide data were received.
^{2 }Pushed is included in hands, fists, feet, etc.
^{3} Limited supplemental homicide data were received.
Be sure to show ALL of your work details. Submit your ANSWER FORM in the Unit 4 IP Submissions area.
 In how many ways can 5 states be selected from the top 10 states with the most murders if the order of the 5 states matters?
In how many ways can 5 states be selected from the top 10 states with the most murders if the order of the 5 states does not matter?
 What would be the probability that randomly choosing 3 states from the top 6 murder states would actually be the top 3 states for murders in the exact correct decreasing order (1. CA, 2. TX, 3. NY)?
 From the table above, find the top 20 states with the most number of total murders. Then, calculate the mean, median, and mode.
 Calculate the variance and the standard deviation of the top 20 states with the most number of total murders.
 In Texas, given that a specific person was murdered by a firearm, what is the probability that the murder was committed with a rifle?
 In California, given that a specific person was murdered by a firearm, what is the probability that the murder was committed either with a rifle or a shotgun?
 Choose 2 states, and determine how many more times likely a person is to be murdered using a handgun in one state compared to the other state if the person is murdered.
 For what reasons do you think California and Texas seemingly had a disproportionate number of murders than New York and Pennsylvania in 2011? Please do your research and include the references that support your answer.
Reference
Federal Bureau of Investigation. (2011). Table 20: Murder. Retrieved from http://www.fbi.gov/aboutus/cjis/ucr/crimeintheu.s/2011/crimeintheu.s.2011/tables/table20