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THE BODY IN THE BAG Presenters:  Dina Gaughan, Megan Poole, &  Amy Shuleski February 24, 2010 MBA 512
Man Finds large canvas bag floating in river Preliminary investigation reveals body Sex/Race/Age Unknown Body in the Bag
Victim and Offender – Adults over 18yrs of age Victim/Offender Relationships 2003 Uniform Crime Reports – FBI http://www.fbi.gov/ucr/03cius.htm Analysis Profiles Victim Offender Joint Waiting on Forensics Analysis Identify Preliminary Profile
[object Object]
P (E) = Number of ways that E can occur	Number of possible outcomes ,[object Object]
P (A or B) = P (A) + P (B)
Multiplication Rule
P (A&B) = P (A) * P (B)Probability Formulas
(Classical Method) Race: White: 		3,562 / 6,911	51.5% Black: 		3,098 / 6,911	44.8% Other: 		195 / 6,911		2.8% Unknown:	 56 / 6,911		.8% Sex: Male:	 	4,987 / 7,024	71%	 Female:		1,962 / 7,024	27.9% Unknown:  	75 / 7,024		1.1% Victim Profile Prediction
(Addition Rule) White or Black =(3562/6911) + (3098/6911) = 96.4% Male or Female =(4987/7024) + (1962/7024) = 98.9% Victim Profile Prediction
(Multiplication Rule) White & Male =(3562/6911) * (4987/7024) =  36.6% White & Female =(3098/6911) * (1962/7024) = 14.4% Black & Male 	=(3098/6911) * (4987/7024) = 31.8% Black & Female 	=(3098/6911) * (1962/7024) = 12.5% Victim Profile Prediction
Victim Profile Prediction
(Classical Method) Race: White:		3,323 / 6,911	48.1% Black:		3,412 / 6,911	49.4% Other:		176 / 6,911		2.5% Unknown:	56 / 6,911		0.8% Sex: Male:		6,220 / 7,024	88.6% Female:		691 / 7,024		9.8% Unknown:	113 / 7,024		1.6% Offender Profile Prediction
(Addition Rule) White or Black =(3323/6911) + (3412/6911) = 97.5% Male or Female =(6220/7024) + (691/7024) = 98.4% Offender Profile Prediction
(Multiplication Rule) White & Male = (3323/6911) * (6220/7024) = 	42.6% White & Female =(3323/6911) * (691/7024) = 	4.7 % Black & Male =(3412/6911) * ( 6220/7024) = 	43.7% Black & Female =(3412/6911) * (691/7024) = 	4.9% Offender Profile Prediction
Offender Profile Prediction
(Multiplication Rule) ,[object Object]
White:		.515 x .481	24.8%
Black:		.448 x .494	22.1%
Other:		.028 x .025	.1%

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Probability Presentation

  • 1. THE BODY IN THE BAG Presenters: Dina Gaughan, Megan Poole, & Amy Shuleski February 24, 2010 MBA 512
  • 2. Man Finds large canvas bag floating in river Preliminary investigation reveals body Sex/Race/Age Unknown Body in the Bag
  • 3. Victim and Offender – Adults over 18yrs of age Victim/Offender Relationships 2003 Uniform Crime Reports – FBI http://www.fbi.gov/ucr/03cius.htm Analysis Profiles Victim Offender Joint Waiting on Forensics Analysis Identify Preliminary Profile
  • 4.
  • 5.
  • 6.
  • 7.
  • 8. P (A or B) = P (A) + P (B)
  • 10. P (A&B) = P (A) * P (B)Probability Formulas
  • 11. (Classical Method) Race: White: 3,562 / 6,911 51.5% Black: 3,098 / 6,911 44.8% Other: 195 / 6,911 2.8% Unknown: 56 / 6,911 .8% Sex: Male: 4,987 / 7,024 71% Female: 1,962 / 7,024 27.9% Unknown: 75 / 7,024 1.1% Victim Profile Prediction
  • 12. (Addition Rule) White or Black =(3562/6911) + (3098/6911) = 96.4% Male or Female =(4987/7024) + (1962/7024) = 98.9% Victim Profile Prediction
  • 13. (Multiplication Rule) White & Male =(3562/6911) * (4987/7024) = 36.6% White & Female =(3098/6911) * (1962/7024) = 14.4% Black & Male =(3098/6911) * (4987/7024) = 31.8% Black & Female =(3098/6911) * (1962/7024) = 12.5% Victim Profile Prediction
  • 15. (Classical Method) Race: White: 3,323 / 6,911 48.1% Black: 3,412 / 6,911 49.4% Other: 176 / 6,911 2.5% Unknown: 56 / 6,911 0.8% Sex: Male: 6,220 / 7,024 88.6% Female: 691 / 7,024 9.8% Unknown: 113 / 7,024 1.6% Offender Profile Prediction
  • 16. (Addition Rule) White or Black =(3323/6911) + (3412/6911) = 97.5% Male or Female =(6220/7024) + (691/7024) = 98.4% Offender Profile Prediction
  • 17. (Multiplication Rule) White & Male = (3323/6911) * (6220/7024) = 42.6% White & Female =(3323/6911) * (691/7024) = 4.7 % Black & Male =(3412/6911) * ( 6220/7024) = 43.7% Black & Female =(3412/6911) * (691/7024) = 4.9% Offender Profile Prediction
  • 19.
  • 23. Likelihood of Victim & Offender same sex:
  • 26. Unknown: .011 x .016 .02%Joint Profile Prediction
  • 27.
  • 28. Male: 62.9% (Agrees with above prediction)Profile Predictions
  • 29. No Identification Autopsy In water for 2 weeks Forensics Information Recovered White Female Blonde Hair Mid 30’s No children No jewelry Forensics Analysis - Victim
  • 30. Victim Profile Probability did not match the Forensic Analysis Analysis Determined White Female Probabilities White Male – 36.6 % White & Female - 14.4% Forensics Analysis - Victim
  • 31. Based on Victim’s Race – Likelihood Offender is: White 3,017/3,562 = 84.7 % Black 501/3,562 = 14.1 % Other 44/3,562 = 1.7 % Offender Profile Posting
  • 32. Based on Victim’s Sex– Likelihood Offender is: Male 1754/1962 = 89.4 % Female 185/1962 = 9.4 % Unknown 231/1962 = 1.2 % Offender Profile Posting
  • 33. (Multiplication Rule) White and Male .847 * .894 = 75.7 % Probability that the Offender is White and Male is 75.7 % Official Offender Profile Posting
  • 34. Have you seen this man?If so, dial 911 White Male Questions?