A truth serum has the property that 90% of the guilty suspects are properly judged while, of course, 10% of the guilty suspects are improperly found innocent. On the other hand, innocent suspects are misjudged 1% of the time. If the suspect was selected from a group of suspects of which only 5% have ever committed a crime, and the serum indicates that he is guilty, what is the probability that he is innocent?
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.
A truth serum has the property that 90% of the guilty suspects are properly judged while, of
course, 10% of the guilty suspects are improperly found innocent. On the other hand, innocent suspects
are misjudged 1% of the time. If the suspect was selected from a group of suspects of which only 5%
have ever committed a crime, and the serum indicates that he is guilty, what is the probability that he is
innocent?
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