Suppose we know that 0.1% of the population is infected with COVID-19 (the probability that a randomly selected individual is infected with COVID-19 is 0.001). We have a test for COVID-19 that is 99.9% accurate (if the person is infected, then the probability of being tested as POSITIVE is 0.999; if the person is NOT infected, the probability of being tested as NEGATIVE is 0.999) What is the probability that Draco is actually infected with COVID-19, given that he has tested positive?
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 we know that 0.1% of the population is infected with COVID-19 (the
What is the probability that Draco is actually infected with COVID-19, given that he has tested positive?
Hint: Draw the appropriate tree diagram and use Bayes' Theorem.
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