The BB Roadwatch service predict delays on a particular route with probability 2/5. However, their computer model is not completely accurate: when a delay is predicted, one actually occurs with probability 3/4; when a delay is not predicted, one occurs with probability 1/4. Given that you are delayed on this route, what is the probability it was predicted?

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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.