Suppose that 16% of crimes of this type end up in a criminal charge. This district has a false conviction rate of 5% and fail to charge at a rate of 10%. If a randomly chosen suspect is charged, what is the chance that the suspect actually committed the crime? Use what you have learned in this chapter to help answer the following questions about the district's crime rates.
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 of this type end up in a criminal charge. This district has a false conviction rate of 5% and fail to charge at a rate of 10%. If a randomly chosen suspect is charged, what is the chance that the suspect actually committed the crime? Use what you have learned in this chapter to help answer the following questions about the district's crime rates.
Let A denote the event that a person is convicted
Let B denote the event that a person committed the crime
Given that:
So,
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