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.
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
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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![### 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffa41b47d-a27d-4623-80de-b3b064f82b52%2Fb0d9dd1b-7eca-4d67-a298-9558d73549d8%2F4sq4fh_processed.jpeg&w=3840&q=75)
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.
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