A study was conducted on some 400 employees of a certain company to establish the favorite beverage from among Coffee, Tea and Cocoa. The following was observed: 145 employees preferred Coffee, 165 preferred Tea while 185 preferred Cocoa. The number of employees who did not choose any of the three beverages was similar to those that preferred Tea and Coffee. 65 employees preferred Coffee and Cocoa. The number that indicated a preference for Coffee or Cocoa but not Tea was 180. If the number that
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.
A study was conducted on some 400 employees of a certain company to establish the favorite beverage from among Coffee, Tea and Cocoa. The following was observed:
145 employees preferred Coffee, 165 preferred Tea while 185 preferred Cocoa. The number of employees who did not choose any of the three beverages was similar to those that preferred Tea and Coffee. 65 employees preferred Coffee and Cocoa. The number that indicated a preference for Coffee or Cocoa but not Tea was 180. If the number that did not indicate a preference for any of the three beverages was 55, use the information to answer the questions that follow:
i.Represent the above information in a well labeled Venn diagram. ii. Obtain the number of employees that preferred Tea or Cocoa but not Coffee. iii.Calculate the number of employees that prefer at most one beverage.
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