Suppose that 16% of crimes end up in criminal charges. The district has a false conviction rate of 5% (meaning the subject was charged but did not commit the crime) and failed to charge at a rate of 10% ( meaning the person committed the crime but was not charged). If a randomly chosen suspect was charged, what is the chance that the suspect actually committed the crime? Create a tree diagram based on the information above. 1. What is the probability that a randomly chosen suspect actually committed the crime? 2. What is the probability that a randomly selected suspect was not charged, given they actually committed the crime? 3. What is the probability that a randomly chosen suspect was charged given they did not commit the crime? Explain why it makes sense for this probability to be less than the one in the previous question
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.
Suppose that 16% of crimes end up in criminal charges. The district has a false conviction rate of 5% (meaning the subject was charged but did not commit the crime) and failed to charge at a rate of 10% ( meaning the person committed the crime but was not charged). If a randomly chosen suspect was charged, what is the chance that the suspect actually committed the crime?
Create a tree diagram based on the information above.
1. What is the
2. What is the probability that a randomly selected suspect was not charged, given they actually committed the crime?
3. What is the probability that a randomly chosen suspect was charged given they did not commit the crime? Explain why it makes sense for this probability to be less than the one in the previous question.
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