Suppose in a class there are 170 students. Of those 170 students, 90 are males and 80 are females. Among 90 male students, 55 like playing the game of football and 35 do not like it. Among 80 female students, 10 like playing the game of football and 70 do not like it. Represent all this information in the form of a cross tabulation or probability contingency table. Show probability tree diagrams for all the possible random events that can occur (with their probabilities) if a student is picked randomly in this class. Make the graph if possible.
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 in a class there are 170 students. Of those 170 students, 90 are males and 80 are females. Among 90 male students, 55 like playing the game of football and 35 do not like it. Among 80 female students, 10 like playing the game of football and 70 do not like it.
- Represent all this information in the form of a cross tabulation or probability
contingency table . - Show probability tree diagrams for all the possible random events that can occur (with their probabilities) if a student is picked randomly in this class.
- Make the graph if possible.
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