What are the chances that a person who is murdered actually knew the murdered? The answer to this question explains why a lot of police detective work begins with relatives and friends of the victim. About 64% of people who are murdered actually knew the person who committed the murder. Suppose that a detective has 63 current unsolved murders.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
### Understanding the Probability in Homicide Cases

**The Relationship Between Victims and Their Murderers**

The likelihood that a homicide victim actually knew their murderer is a key consideration in criminal investigations. Many law enforcement officers begin their investigations by looking into the victim's acquaintances for this very reason. Approximately **64%** of people who are murdered knew the person who committed the crime. 

**Example Scenario**

Let us consider a detective who is currently handling **63 unsolved murder cases**. 

**Question**

What is the probability that at least **35** of the victims knew their murderers?

To solve this, we would typically use probability and statistical methods, considering the data available – the 64% probability and the sample size of 63 unsolved deaths. This type of problem often requires an understanding of binomial distribution to calculate the exact probability.

**Educational Note**

Understanding these probabilities helps in appreciating why detectives often focus on the victim’s circle of acquaintances and loved ones as initial suspects while investigating homicides. This statistical approach is grounded in observed patterns and helps in narrowing down the list of suspects efficiently.

### Further Study

To explore this topic more deeply, students can study binomial probability distributions, which are particularly useful for problems involving a fixed number of trials, each with the same probability of a particular outcome.
Transcribed Image Text:### Understanding the Probability in Homicide Cases **The Relationship Between Victims and Their Murderers** The likelihood that a homicide victim actually knew their murderer is a key consideration in criminal investigations. Many law enforcement officers begin their investigations by looking into the victim's acquaintances for this very reason. Approximately **64%** of people who are murdered knew the person who committed the crime. **Example Scenario** Let us consider a detective who is currently handling **63 unsolved murder cases**. **Question** What is the probability that at least **35** of the victims knew their murderers? To solve this, we would typically use probability and statistical methods, considering the data available – the 64% probability and the sample size of 63 unsolved deaths. This type of problem often requires an understanding of binomial distribution to calculate the exact probability. **Educational Note** Understanding these probabilities helps in appreciating why detectives often focus on the victim’s circle of acquaintances and loved ones as initial suspects while investigating homicides. This statistical approach is grounded in observed patterns and helps in narrowing down the list of suspects efficiently. ### Further Study To explore this topic more deeply, students can study binomial probability distributions, which are particularly useful for problems involving a fixed number of trials, each with the same probability of a particular outcome.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman