About 10% of Olympic athletes use illegal performance drugs. A test for the presence of these drugs shows up positive 90% of the time that drugs are present and shows up positive 20% of the time when drugs are not present (that is, given no drug use, the test shows positive with probability 0.2). An athlete is selected at random and tested. What is the probability the test shows positive? If the test turns out negative, what are the chances the athlete is actually clean (that is, not a drug user)?
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.
About 10% of Olympic athletes use illegal performance drugs. A test for the presence of these drugs shows up positive 90% of the time that drugs are present and shows up positive 20% of the time when drugs are not present (that is, given no drug use, the test shows positive with
- An athlete is selected at random and tested. What is the probability the test shows positive?
- If the test turns out negative, what are the chances the athlete is actually clean (that is, not a drug user)?
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