For the next Olympics, a firm has created a test to catch athletes who took performance-enhancing drugs. The test has the following properties: Accuracy:99% if the person has taken the drug, if the person has not taken the drug, the test will be negative in 90% of the cases. You believe that 5% of athletes take the performance enhancing drug: If an athlete tests positive from the test, what is the probability that he actually cheated and took some drugs?
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.
For the next Olympics, a firm has created a test to catch athletes who took
performance-enhancing drugs. The test has the following properties: Accuracy:99% if the person has taken the drug, if the person has not taken the drug, the test will be negative in 90% of the cases.
You believe that 5% of athletes take the performance enhancing drug: If an
athlete tests positive from the test, what is the
cheated and took some drugs?
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