According to a study done by Nick Wilson of Otago University Wellington, the probability that a randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you sit on a bench in a mall randomly observe 10 individuals as they sneeze, and record the number x of people who do not cover their mouths when sneezing a) Explain why this is a binomial experiment  b) What is the probability that among 10 randomly observed individuals exactly 3 do not cover their mouths when sneezing  c)  Would you be surprised  if more than half of the 10 randomly observed individuals do not cover their mouths when sneezing? Why?

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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.