Red and blue pens are sold in packets of six. Each pen is either red or blue. The manufacturer claims that the number of red pens in a packet is binomially distributed. He collects 100 packets at random and obtains the information in the table. Number of red pens Number of packets 1 1 2 17 4 31 28 11

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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.